Technical Reports

Baojun, S., Garsow-Castillo, M, Castillo-Chavez, C, et. al., ”Raves Clubs, and Ecstassy: The Impcat of Peer Pressure,” submitted

Bettencourt, L, M.A., Cintron-Arias A., Kaiser, D, I. And C. Castillo-Chavez, “The power of a good idea: quantitative modeling of the pread of ideas from epidemiological models,” submitted.

Feng, Z, Wenzhang H, and Castillo-Chavez, “Global Behavior of a Multi-group SIS Epidemic Model with Age Structure,” Journal of Differential Equations (in press).

P. Diaz, G. Chowell, G. Ceja, T. C. D'Auria, R. C. Lloyd, C. Castillo-Chavez, Pediatric Electrocardiograph Abnormalities Following Centruroides limpidus tecomanus Scorpion Envenomation to appear in Toxicon.

Nuno, M, Feng, Z., Martcheva, M. and C. Castillo-Chavez, The dynamics of two strains of influenza with cross-immunity, SIAM J. of Applied Mathematics, (in press).

F. Berezovsky, G. Karev, B. Song, and C. Castillo-Chavez, Simple Models with Surprised Dynamics, Journal of Mathematical Biosciences and Engineering, 2(1): 133-152, 2004.

C. Castillo-Chavez, and B. Song: Dynamical Models of Tuberculosis and applications, Journal of Mathematical Biosciences and Engineering, 1(2): 361-404, 2004.

G. Chowell, C. Castillo-Chavez, P.W. Fenimore, C. Kribs-Zaleta, L. Arriola, J.M. Hyman, Model Parameters and Outbreak Control for SARS, Emerging Infectious Diseases 10 (7):1258-1263 (2004)

Gorman, D. M., Gruenewald P. J., Hanlon, P. J., Mezic, Waller, L. A., C. Castillo-Chavez, E. Bradley, and J. Mezic. Implications of Systems Dynamic Models and Control Theory for Environmental Approaches to the Prevention of Alcohol- and Other Drug-Related Problems. SUBSTANCE USE & MISUSE, Vol. 39, Nos. 10–12, pp. 1713–1750, 2004.

Chowell, G., Hengartner, N.W., Castillo-Chavez, C., Fenimore, P.W., Hyman, J.M. The Basic Reproductive Number of Ebola and the Effects of Public Health Measures:  The Cases of Congo and Uganda.  Journal of Theoretical Biology, 229(1): 119-126 (July 2004)

Castillo-Chavez, Carlos,  " Starting Graduate School: Mathematics Training, Part 2" [http://nextwave.sciencemag.org/cgi/content/full/2004/09/15/2?template=msp], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos,  " Starting Graduate School: Mathematics Training, Part 1" [http://nextwave.sciencemag.org/cgi/content/full/2004/09/02/4?template=msp], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos, “Conferences Are Not Just for Faculty Members,”Science’s Next Wave, Online Magazine, MiSciNet [http://www.nextwave.org/miscinet]. UNITED STATES, 08-06, 2004.

Castillo-Chavez, Carlos, “International Collaborations_ Mathematical Biology at Xi'an Jiaotong University,” Science’s Next Wave, Online Magazine, [http://www.nextwave.org/miscinet], UNITED STATES, 06-04, 2004.

Castillo-Chavez, Carlos, “Fellowship and Admission Decisions for Graduate Programs in the Mathematical Sciences,” Science’s Next Wave, Online Magazine, [http://www.nextwave.org/miscinet], UNITED STATES, 05-07, 2004.

Castillo-Chavez, Carlos  "Mentorship and the New American University"[http://nextwave.sciencemag.org/cgi/content/full/2004/04/07/9?], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos  "The Mathematical and Theoretical Biology Institute Helps Fill a Void" [http://nextwave.sciencemag.org/cgi/content/full/2004/03/18/5?], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos  "Mathematical Biology at Arizona State University" [http://nextwave.sciencemag.org/cgi/content/full/2004/02/19/1?], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos  "Mathematics, Epidemics and Homeland Security" [http://nextwave.sciencemag.org/cgi/content/full/2004/02/06/NOT YET?template=msp], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Austin James and C. Castillo-Chavez, "Math and Biology: Career at the Interface *Feature Index* "[http://nextwave.sciencemag.org/cgi/content/full/2004/01/30/1?], Science’s Next Wave Online Magazine, [http://www.nextwave.org/miscinet].

Castillo-Chavez, Carlos  "Career Mathematics Issues for Students of Color" [http://nextwave.sciencemag.org/cgi/content/full/2004/01/21/7?template=msp], Science’s Next Wave Online Magazine,  [http://www.nextwave.org/miscinet].

Castillo-Chavez Carlos and Baojun Song,  “An overview of dynamical models of tuberculosis,” In: Summer School on Mathematical Biology, CIM publication Vol. 20, A. Margheri, C. Rebelo and F. Zanolin (eds.), pp.13-62, 2003. (Modified and minimally expanded: Dynamical Models of Tuberculosis and applications, Journal of Mathematical Biosciences and Engineering, 1(2): 361-404, 2004, with permission of CIM where it was published for summer school participants).

Castillo-Chavez, Carlos "Adventures of a Mathematical Biologist" "[http://nextwave.sciencemag.org/cgi/content/full/2003/12/11/6?template=msp] published in Science's Next Wave Online Magazine,[http://www.nextwave.org/miscinet].

Martcheva, M and C. Castillo-Chavez, “Diseases with Chronic Stage in a Population with Varying Size,” Mathematical Biosciences 182: 1–25, March 2003.

Chowell, G., P. W. Fenimore, M. A. Castillo-Garsow and C.  Castillo-Chavez. “SARS Outbreaks in Ontario, Hong Kong and Singapore: the role of diagnosis and isolation as a control mechanism.” J. Theor. Biology, 224, 1-8, 2003.

Best, J., Castillo-Chavez C. and A-A. Yakubu. “Hierarchical competition in discrete time models with dispersal”, Fields Institute Communications, Volume 36, 59-86, 2003.

Rivas Ariel L., Smith Stephen, Sullivan Patrick J., Gardner Beth, Aparicio Juan P., HoogesteijnAlmira L. and Carlos Castillo-Chavez, “Identification of geographical factors associated with early spread of foot-and-mouth disease in the 2001 Uruguayan epidemic,” American Journal of Veterinary Research, Vol. 64, No, 12, 1519-1527, December 2003.

Rivas A. L., Tennenbaum S. E., Aparicio J. P., Hoogesteijn A. L., Mohammed, H. O., Castillo-Chavez C. and S. J. Schwager, Critical response time (time available to implement effective measures for epidemic control): model building and evaluation, to appear in Canadian Journalof Veterinary Research, 67: 307-311, 2003.

Chowell, G. and C. Castillo-Chavez. “Worst Case Scenarios and Epidemics.” In (Banks T. and C. Castillo-Chavez, eds.) Bioterrorism: Mathematical Modeling Applications to Homeland Security, SIAM Series Frontiers in Applied Mathematics, 240 pp. Volume 28, 2003.

Chowell, G., Hyman, M., Eubank, S., and C. Castillo-Chavez. “Scaling Laws for the movement of people between locations in a large city.” Physics Rev. E. 68, 066102 (2003).

Castillo-Chavez, C., Song B., and J. Zhang. “An epidemic model with virtual transportation: the case of smallpox in a large city.” In (Banks T. and C. Castillo-Chavez, eds.)  Bioterrorism: Mathematical Modeling Applications to Homeland Security SIAM Series Frontiers in Applied Mathematics, 240 pp. Volume 28, 2003.

Castillo-Chavez, C., and B. Song.  “Models for the Transmission Dynamics of Fanatic Behaviors.” In (Banks T. and C. Castillo-Chavez, eds.)  Bioterrorism: Mathematical Modeling Applications to Homeland Security SIAM Series Frontiers in Applied Mathematics, 240 pp. Volume 28, 2003.

Li, J., Zhien, M., Blythe, S. P. and C. Castillo-Chavez. “Coexistence of Pathogens in Sexually-Transmitted Disease Models,” Journal of Mathematical Biology, vol. 47 no. 6, pp. 547-568, December 2003.

Castillo-Chavez, C., Castillo-Garsow, C. and A. A. Yakubu, “Mathematical Models of Isolation and Quarantine.” JAMA, December 3, 2003, Vol. 290, No. 21, pp 2876-2877.

Aparicio, J., A. Capurro and C. Castillo-Chavez, Markers of disease evolution: the case of tuberculosis, Journal of Theoretical Biology, 215: 227-237, March 2002.

Yakubu, A. and C. Castillo-Chavez, Interplay between local dynamics and dispersal in discrete-time metapopulation models,  Journal of Theoretical Biology218: 273-288, October 2002.

Baojun Song, C. Castillo-Chavez and J. A. Aparicio, Tuberculosis Models with Fast and Slow Dynamics: The Role of Close and Casual Contacts, Mathematical Biosciences180:  187-205, December 2002.

Castillo-Chavez, C. and F. Roberts, Report on DIMACS Working Group Meeting: Mathematical Sciences Methods for the Study of Deliberate Releases of Biological Agents and their Consequences, DIMACS, Rutgers University, May 17, 2002.

Aparicio, J., A. Capurro and C. Castillo-Chavez, “Frequency Dependent Risk of Infection and the Spread of Infectious Diseases.”  In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 341-350, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Aparicio, J., A. Capurro and C. Castillo-Chavez, “On the long-term dynamics and re-emergence of tuberculosis.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 351-360, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Castillo-Chavez C., Z. Feng and W. Huang. “On the computation Ro and its role on global stability,” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 229-250, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Castillo-Chavez C. and A-A Yakubu, “Discrete-time S-I-S models with simple and complex dynamics.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 153-163, Springer-Veralg, Berlin-Heidelberg-New York, Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Castillo-Chavez C. and A-A. Yakubu, “Intra-specific competition, dispersal and disease dynamics in discrete-time patchy environments.”  In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 165-181, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Castillo-Chavez, C., A-A Yakubu, H. Thieme and M. Martcheva, “Nonlinear mating models for populations with discrete generations.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 251-268,Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Heiderich, K. R., W. Huang and C. Castillo-Chavez. “Nonlocal response in a simple epidemiological model,” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, IMA Volume 125, 129-151, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu. 2002.

Huang W. and C. Castillo-Chavez, “Age-structured Core Groups and their impact on HIV dynamics.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods and Theory, IMA Volume 126, 261-273,Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Song, B., C. Castillo-Chavez and J. Aparicio, “Global dynamics of tuberculosis models with density dependent demography.” In: Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods and Theory, IMA Volume 126, 275-294, Springer-Veralg, Berlin-Heidelberg-New York. Edited by Carlos Castillo-Chavez with Pauline van den Driessche, Denise Kirschner and Abdul-Aziz Yakubu, 2002.

Feng, Z. W. Huang and C. Castillo-Chavez, “On the role of variable latent periods in mathematical models for tuberculosis.” Journal of Dynamics and Differential Equations, Vol. 13, No. 2, 2001 pp425-452, 2001.

Castillo-Chavez C. and A. Yakubu, “Epidemics on attractors,” Contemporary Mathematics, 284, 23-42, AMS Publication (2001).

Castillo-Chavez C. and A. Yakubu, “Discrete-time S-I-S models with complex dynamics,” Nonlinear Analysis, 47(7), 4753-4762 (2001).

Castillo-Chavez C. and A. Yakubu, “Dispersal, disease and life history evolution Dispersal, Disease and Life-History Evolution,” Math. Biosc. 173, 35-53 (2001).

Hernandez-Suarez C. M. and C. Castillo-Chavez, “Urn models and vaccine efficacy estimation” Statistics in Medicine.  Volume 19: 827-835, 2000.

Schmitz S-F. Hsu and C. Castillo-Chavez, “A note on pair-formation functions.” Mathematical and Computer Modeling. 31: 83-91, 2000.

Feng, Z. C. Castillo-Chavez and A. Capurro, “A model for TB with exogenous re-infection.” Journal of Theoretical Population Biology. 57, 235-247, 2000.

Aparicio J., A. Capurro and C. Castillo-Chavez, “Transmission and Dynamics of Tuberculosis on Generalized Households/” Journal of Theoretical Biology 206, 327-341, 2000.

Mena-Lorca, J., J. X. Velasco-Hernandez and C. Castillo-Chavez, “Super-infection, Virulence and Density-Dependent Mortality in an Epidemic Model.” IMA Journal of Mathematics Applied in Medicine and Biology, Volume 16, Issue 4, pp. 307-317, 1999.

Hernandez-Suarez C. M. and C. Castillo-Chavez, “A basic result on the integral for birth-death Markov processes,” Mathematical Biosciences, 161, 95-104, 1999.

Castillo-Chavez, C. “Under-representation Perspectives from Academia. Meeting America’s Needs for the Scientific and Technological Challenges of the 21st Century,” Executive Office of the President of Science and Technology Policy, 27-29, May 1999.

Dushoff, J., W. Huang and C. Castillo-Chavez, “Backward Bifurcations and Catastrophe in Simple Models of Fatal Diseases,” Journal of Mathematical Biology, 36, 227-248, 1998.

Feng, Z. and C. Castillo-Chavez, “Global stability of an age-structure model for TB and its applications to optimal vaccination strategies,” Mathematical Biosciences, 151,135-154, 1998.

Castillo-Chavez, C., A. Capurro, M. Zellner and J. X. Velasco-Hernandez, “El transporte publico y la dinamica de la tuberculosis a nivel poblacional,” Aportaciones Matematicas, Serie Comunicaciones, 22: 209-225, 1998.

Castillo-Chavez, C. and J. X. Velasco-Hernandez, “On the Relationship Between Tight Coevolution and Superinfection, “J. of Theoretical Biology, 192, 437-444, 1998.

Castillo-Chavez, C. and Z. Feng, “Mathematical Models for the Disease Dynamics of Tuberculosis,” Advances In Mathematical Population Dynamics - Molecules, Cells, and Man (O.  , D. Axelrod, M. Kimmel, (eds), World Scientific Press, 629-656, 1998.

Brauer, F, C. Castillo-Chavez and J. X. Velasco-Hernandez, “Recruitment into Core Group and its effect on the spread of a sexually transmitted disease,” Advances In Mathematical Population Dynamics - Molecules, Cells, and Man (O. Arino, D.  Axelrod, M. Kimmel, (eds), World Scientific Press, 477 – 486, 1998.

Brauer F., S. P. Blythe and C. Castillo-Chavez, “Demographic Recruitment in Sexually Transmitted Disease Model.”  Proc. First World Congress on Computational Medicine, Public Health and Biotechnology, Part II, Austin, TX, Ed. Matthew Witten, Series in Mathematical Biology and Medicine. 5: 1438-1457, 1997.

Castillo-Chavez, C. and Z. Feng: “To treat or not to treat: the case of tuberculosis,” Journal of Mathematical Biology, 35: 629-656, 1997.

Castillo-Chavez, C. and S-F Hsu Schmitz, “The evolution of age-structured marriage functions: It takes two to tango.”  In, Structured-Population Models Marine, Terrestrial, and Freshwater Systems.  S. Tuljapurkar and H. Caswell, (eds.), Chapman & Hall, New York, pages 533-550, 1997.

Castillo-Chavez, C., W. Huang and J. Li, “The effects of females’ susceptibility on the coexistence of multiple pathogen strains of sexually-transmitted diseases, Journal of Mathematical Biology, 35:503-522, 1997.

Capurro, A., C. Castillo-Chavez, Z. Feng and Moira Zellner, “Modelos para la dinamica de transmision de la Tuberculosis,” In, Proceedings Eigth International Congres in Biomatematicas, R. How,e, J. M. Nole, S. Vergara, J. R. Fernandez, C. F. Ho (eds.) Pages 13-34, 1997.

Capurro, A., Brauer, F., C. Castillo-Chavez, and Moira Zellner, “Conceptos Basicos en la Epidemiologia Teorica,” In, Proceedings Eigth International Congres in Biomatematicas, R. How,e, J. M. Nole, S. Vergara, J. R. Fernandez, C. F. Ho, (eds.) Pages 35-51, 1997.

Castillo-Chavez, C., W. Huang and J. Li, “Competitive Exclusion in Gonorrhea Models and Other Sexually-Transmitted Diseases, “SIAM Journal of Applied. Mathematics.  56(2): 494-508, 1996.

Castillo-Chavez, C., W. Huang and J. Li, “On the Existence of Stable Pair Distributions,” Journal of Mathematical Biology, 34: 413-441, 1996.

Lubkin, S. and C. Castillo-Chavez, “A Pair-Formation Approach to Modeling Inheritance of Social Traits,” Proceedings to the First World Congress of Nonlinear Analysts, Tampa, FL., August 19-26, 1992: 3228-3234, 1996.

Hsu Schmitz, S-F and C. Castillo-Chavez, “Completion of Mixing Matrices for Nonclosed Social Networks,” Proceedings to the First World Congress of Nonlinear Analysts, Tampa, FL, August 19-26, 1992: 3163-3173, 1996.

Velasco-Hernandez, J. X and C. Castillo-Chavez, “Modeling Vector-Host Disease Transmission and Food Web Dynamics Through the Mixing/Pair Formation Approach”, Proceedings to the First World Congress of Nonlinear Analysts, Tampa, FL, August 19-26, 1992: 3175-3186, 1996.

Castillo-Chavez, C., S. Fridman and X. Luo, “Stochastic and Deterministic Models in Epidemiology,” Proceedings to the First World Congress of Nonlinear Analysts, Tampa, FL. , August 19-26, 1992:  3212-3225, 1996.

Brauer, F, C. Castillo-Chavez and J. X. Velasco-Hernandez, “Recruitment Effects in Heterosexually Transmitted Disease Models,” In: Advances in Mathematical Modeling of Biological Processes, Denise Kirschner (editor), International Journal of Applied Science and Computation, 3:1, 78-90, 1996.

Castillo-Chavez, C., W. Huang and J. Li, “Dynamics of Multiple Pathogen Strains in Heterosexual Epidemiological Models,” In:  Differential equations and applications to biology and to industry:  Proceedings of the June 1-4, 1994, Claremont international conference dedicated to the memory of Stavros Busenberg (1941-1993): 129-298, 1996.

Velasco-Hernandez, J.X., F. Brauer and C. Castillo-Chavez, “Effects of Treatment and Prevalence-dependent Recruitment on the Dynamics of a fatal disease,” IMA Journal of Math. Medicinal Biology, 13: (3) 175-192, 1996.

Hadeler, K. P. and C. Castillo-Chavez, “A Core Group Model for Disease Transmission,” Math Biosci.  128: 41-55, 1995.

Lubkin, S., S-F, Hsu Schmitz and C. Castillo-Chavez, “A Framework for Modeling Inheritance of Social Traits, In, Mathematical Population Dynamics: Analysis of Heterogeneity,”O. Arino, D.E. Axelrod, and M. Kimmel (eds.), pp. 131-46, 1995.

Blythe, S. P., S. Busenberg and C. Castillo-Chavez, “Affinity and Paired-Event Probability,” Mathematical Biosci. 128:  265-84, 1995.

Castillo-Chavez, C. and W. Huang, “The Logistic Equation Revisited: The Two-Sex Case,“ Math. Biosci. 128:  299-316, 1995.

Castillo-Chavez, C., K. Cooke, K. and H. Thieme, “Remembering Stavros Busenberg,” Math. Biosci 128: 3-11, 1995.

Castillo-Chavez, C., “Dedication: Advances in Mathematical Modeling of Biological Processes, “Denise Kirschner (editor), International Journal of Applied Science and Computation, 3:1, 1995.

Castillo-Chavez, C., “Personal recollections: The Society for Mathematical Biology Remembers Betty Tang (7/17/54-9/13/95)," Mathematical Biology Newsletter, 9(1): 4, 1995.

Castillo-Chavez, C. and H. Thieme, “Asymptotically Autonomous Epidemic Models,” In, Mathematical Populations Dynamics: Analysis of Heterogeneity, Volume 1, Theory of Epidemics, O. Arino, D. Axelrod, M. Kimmel and M. Langlais (eds.), pp. 33-50, 1995.

Hsu Schmitz, S-F and C. Castillo-Chavez, “Parameter Estimation in Non-Closed Social Networks Related to the Dynamics of Sexually-Transmitted Diseases,” In, Modeling the AIDS Epidemic: Planning Policy and Prediction, E. Kaplan and Brandeau (eds.), pp. 533-560, Raven Press, N.Y., 1994.

Brauer, F. and C. Castillo-Chavez, “Basic Models in Epidemiology.” In, Ecological Time Series, J. Steele and T. Powell (eds.), pp. 410-77, Raven Press, N.Y., 1994.

Castillo-Chavez, C., J.X. Velasco-Hernandez and S. Fridman, “Modeling Contact Structures in Biology.” In, Frontiers of Theoretical Biology, Lecture Notes in Biomathematics 100, S.A. Levin (ed.), pp. 454-91.  Springer-Veralg, Berlin-Heidelberg-New York, 1994.

Castillo-Chavez, C. “State Department Stops Free Speech at the Border,” New York Times, Editorial Letters, Wednesday, October 12, 1994.

Thieme, H. and C. Castillo-Chavez, “How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS? SIAM J. Applied Math. 53,  (5), 1447-79, 1993.

Rubin, G., D. Umback, D., S-F, Shyu and C. Castillo-Chavez, “Application of Capture-Recapture Methodology to Estimation of Size of Population at Risk of AIDS and/or Other Sexually-Transmitted Diseases,” Statistics in Medicine 11: 1533-49, 1992.

Blythe, S. P., C. Castillo-Chavez and G. Casella, “Empirical Methods for the Estimation of the Mixing Probabilities for Socially Structured Populations from a Single Survey Sample. Mathematical Population Studies.”  3(3): 199-225, 1992.

Luo, X. and C. Castillo-Chavez, “Limit Behavior of Pair-Formation Models with Large Dissolution Rates,” Journal of Mathematical Systems, Estimation, and Control 3(2): 247-64, 1992.

Castillo-Chavez, C., S-F, Shyu, G. Rubin, G. and D. Umbauch, “On the Estimation Problem of Mixing/Pair Formation Matrices with Applications to Models for Sexually-Transmitted Diseases,” AIDS Epidemiology: Methodology Issues, K. Dietz, V. T. Farewell, N. P. Jewell, (eds.), 384-402, Birkhäuser, Boston-Basel-Berlin, 1992.  

Busenberg, S. and C. Castillo-Chavez, “A General Solution of the Problem of Mixing Sub-Populations, and its Application to Risk-and Age-Structured Epidemic Models for the Spread of AIDS,” IMA J. of Mathematics Applied in Med. and Biol., 8:1-29, 1991.

Cooke, K. L., D. A. Allers, and C. Castillo-Chavez, “Mixing Patterns in Models of AIDS,” Mathematical Population Dynamics, O. Arino, D. Axelro and M. Kimmel, (eds.), pp. 297-309.  Lecture Notes in Pure and Applied Mathematics 131, Marcel Dekker, New York, Basel, Hong Kong. 1991.

Blythe, S. P., C. Castillo-Chavez, J. Palmer, and M. Cheng, “Towards Unified Theory of Mixing and Pair Formation,” Math. Biosci. 107: 379-405, 1991.

Sattenspiel, L and C. Castillo-Chavez, “Environmental Context, Social Interactions, and the Spread of HIV,” American J. of Human Biology 2: 397-417, 1990.

Castillo-Chavez, C. and S. Busenberg, “On the Solution of the Two-Sex Mixing Problem,” Proceedings of the International Conference on Differential Equations and Applications to Biology and Population Dynamics, S. Busenberg and M. Martelli (eds.), Lecture Notes in Biomathematics 92, 80-98, Springer-Veralg, Berlin-Heidelberg-New York, 1990.

Castillo-Chavez, C., S. Busenberg and K. Gerow, “Pair formation in structured populations,” Differential Equations with Applications in Biology, Physics and Engineering, J. Goldstein, F. Kappel, W. Schappacher (eds.), pp.  4765.  Marcel Dekker, New York, 1990.

Blythe, S. P. and C. Castillo-Chavez, “Scaling Law of Sexual Activity,” Nature 344: 202, 1990.

Huang, W., K. Cooke, K. and C. Castillo-Chavez, “Stability and Bifurcation for a Multiple Group Model for the Dynamics of HIV/AIDS Transmission,” SIAM J. of Applied Math. 52(3):  835-854, 1990.

Castillo-Chavez, C., “Oxford Meeting Review,” Mathematical Biology Society Newsletter 4(1): 6-7, 1990.

Adler, F., L. A. Smith and C. Castillo-Chavez, “Distributed Delay Model for the Local Population Dynamics of a Parasitoid-Host System.”  In, Mathematical Approaches to Ecological and Environmental Problem Solving, C. Castillo-Chavez, S. A. Levin, and C. Shoemaker (eds.), pp. 152-62.  Lecture Notes in Biomathematics 81, Springer-Veralg, Berlin-Heidelberg-New York, 1989.

Castillo-Chavez, C., K., Cooke, W., Huang, W. and S. A. Levin, “The Role of Long Incubation Periods in the Dynamics of HIV/AIDS. Part 1: Single Populations Models,” J. Math. Biol., 27: 373-98, 1989.

Castillo-Chavez, C., K., Cooke, W., Huang, W. and S. A. Levin, “On the Role of Long Incubation Periods in the Dynamics of HIV/AIDS.  Part 2: Multiple Group Models,” Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, (ed.), pp. 200-17.  Lecture notes in Biomathematics 83, Springer-Veralg, Berlin-Heidelberg-New York, 1989.

Castillo-Chavez, C., K., Cooke, W., Huang, W. and S. A. Levin, “Results on the Dynamics for Models for the Sexual Transmission of the Human Immunodeficiency Virus,” Applied Math. Letters, 2(4): 327-31, 1989.

Castillo-Chavez, C., Hethcote, H., V. Andreasen, S. A. Levin, S. A. and W-m, Liu, “Epidemiological Models with Age Structure, Proportionate Mixing, and Cross-Immunity,” J. Math. Biol. 27(3): 233-258, 1989.

Levin, S. A., K. Moloney, L. Buttel and C. Castillo-Chavez, “Dynamical models of ecosystems and epidemics.” Future Generation Computer Systems, 5: 265-274, 1989.

Busenberg, S. and C. Castillo-Chavez, Interaction, “Pair Formation and Force of Infection Terms in Sexually-Transmitted Diseases,” Mathematical and statistical approaches to AIDS epidemiology, C. Castillo-Chavez, (ed.), pp. 289-300. Lecture Notes in Biomathematics 83, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Blythe, S. P. and C. Castillo-Chavez, “Like-With-Like Preference and Sexual Mixing Models,” Math. Biosci. 96: 221-238, 1989.

Blythe, S. P. and C. Castillo-Chavez, “Mixing Framework for Social/Sexual Behavior, Mathematical and statistical approaches to AIDS epidemiology,” C. Castillo-Chavez, (ed.), pp. 275-88.  Lecture Notes in Biomathematics 83, Springer-Veralg, Berlin-Heidelberg-New York, 1989.

Castillo-Chavez, C., K. Cooke and S. A. Levin, “On the Modeling of Epidemics,” High Performance Computing, J. L. Delhaye and E. Gelenbe (eds.), pp. 389-409. North Holland, Amsterdam, New York, Oxford, Tokyo, 1989.

Thieme, H. and C. Castillo-Chavez, “On the Role of Variable Infectivity in the Dynamics of the Human Immunodeficiency Virus Epidemic,” Mathematical and statistical approaches to AIDS epidemiology, C. Castillo-Chavez, (ed.), pp. 157-76. Lecture Notes in Biomathematics 83, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Castillo-Chavez, C. “Recent Models of HIV/AIDS Transmission,” Applied Mathematical Ecology, S. A. Levin, T. G. Hallam, and L. J. Gross (eds.), pp. 253-62.  Biomathematics 18, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Schwager, S. J., C. Castillo-Chavez and H. Hethcote, “Statistical and Mathematical Approaches to HIV/AIDS Epidemiology: A Review,” Mathematical and statistical approaches to AIDS epidemiology, C. Castillo-Chavez, (ed.), pp. 2-35.  (1989).  Lecture Notes in Biomathematics 83, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Castillo-Chavez, C., “Structured Models: Some Modelling Applications,” Applied Mathematical Ecology, S. A. Levin, T. G. Hallam, and L. J. Gross, (eds.), pp. 450-470.  Biomathematics 18, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Castillo-Chavez, C., K., Cooke, W., Huang, W. and S. A. Levin, “The Role of Infectious Periods in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS),” Mathematical Approaches to Ecological and Environmental Problem Solving, C. Castillo-Chavez, S. A. Levin, and C. Shoemaker (eds.), pp. 177-89. Lecture Notes in Biomathematics 81, Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, 1989.

Castillo-Chavez, C. “Effects of social mixing in the spread of HIV/AIDS, Mathematical models of infectious diseases.” Mathematisches Forschungsinstitut Oberwolfach. 5.2-11.2, p. 6, 1989.

Castillo-Chavez, C., K., Cooke, W., Huang, W. and S. A. Levin, “Multiple Group Models with Heterogeneous Mixing for the Transmission Dynamics of HIV/AIDS,” V International Conference on AIDS Abstracts Publications, Section A, A.605, p. 178, 1989.

Castillo-Chavez, C. and S. P. Blythe, “Sexual Mixing Models with Like-with-Like Preference”, V International Conference on AIDS Abstracts Publications, Section A, A.522, p. 164.  With Blythe, S. P., 1989.

Castillo-Chavez, C., S. A. Levin and C.  Shoemaker, “Preface, “Mathematical Approaches to Ecological and Environmental Problem Solving, C. Castillo-Chavez, S. A. Levin and C. Shoemaker (eds.), pp. V-VII.  Lecture Notes in Biomathematics 81.  Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong. 1989.

Castillo-Chavez, C., Hethcote, H., V. Andreasen, S. A. Levin, S. A. and W-m, Liu, “Cross-Immunity in the Dynamics of Homogeneous and Heterogeneous Populations,”Mathematical Ecology, T. G. Hallam, L. G. Gross, and S. A. Levin (eds.), World Scientific Publishing Co., Singapore, pp. 303-16, 1988.

Castillo-Chavez, C., S. A. Levin and F. Gould, “Physiological and Behavioral Adaptation to Varying Environments: a Mathematical Model,” Evolution 42(5): 986-94, 1988.

Levin, S. A. and C. Castillo-Chavez, “Topics in Evolutionary Biology,” Mathematical and Statistical Developments of Evolutionary Theory, S. Lessard, (ed.), pp. 327-58.  NATO ASI Series, Kluwer Academic Publishers, Dordrecht, Boston, London, 1988.

Castillo-Chavez, C. “Mathematical Models for the Spread of HIV/AIDS “(Mtg. Review), Mathematical Biology Society Newsletter 3(1): 4-, 1988.

Castillo-Chavez, C. “Non-Linear Character-Dependent Models with Constant Time Delay in Population Dynamics,”J. Math. Analysis and Applications 128(1): 1-29, 1987.

Castillo-Chavez, C.  “Linear Character-Dependent Models with Constant Time Delay in Population Dynamics,” Int. J. Math. Modelling, 9(11): 821-36, 1987.

Castillo-Chavez, C., D. Grunbaum and S. A. Levin, “Designing Computer Models of the Spread of HIV (Human Immunodeficiency Virus),” Forefronts 3(5): 3-6.  Newsletter, Center for Theory and Simulation in Science and Engineering.  Cornell University, 1987.

Castillo-Chavez, “An Abstract Theorem in Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics,” Integral Methods in Science and Engineering, Haji-Sheikh, (ed.), pp. 620-631.  Hemisphere Publishing Corp., Washington, D.C., 1986.

Castillo-Chavez and D. S. Levine, “Mini-Symposium in Population Dynamics,: Integral Methods in Science and Engineering, Haji-Sheikh, ed.), p. 644.  Hemisphere Publishing Corp., Washington, D.C. 1986.

Castillo-Chavez, “Modelos Deterministas del Tipo MacKendrick-Von Foerster en la Teoria Dinamica de Poblaciones,” Ciencia, 36:  105-116, 1985.

Castillo-Chavez, C. “Some Old and New Discrete and Continuous Models in Population Dynamics”, Proc. of Conference on Applied Mathematics, Glenda K. Owens (ed.), Central State University, Edmond, OK, pp. 81-100, 1985.

Castillo-Chavez, “Linear and Non-Linear Character-Dependent Deterministic Models with Time Delay in Population Dynamics,” Ph.D. Thesis, University of Wisconsin-Madison, December 1984.