Fabio Augusto Milner's Publications
 

Books

• Gender-Structured Population Modeling: Mathematical Methods, Numerics and Simulations (with M. Iannelli and M. Martcheva), SIAM: Philadelphia, USA, April 2005.

• Age-Structured Populations: An Introduction to the Mathematical Models and Methods (with M. Iannelli), Kluwer: Amsterdam, Netherlands, to appear.

Recent Journal Articles

• Optimal control problem on insect pest populations (with B.'E. Ainseba and D. Picart), Appl. Math. Letters 24 (7) (2011), 1160-1164.

• Editorial: disease control, Math. Pop. Stud. 17(2) (2010), 67–68.

• A New Mathematical Model of Syphilis (with R. Zhao), Math. Model. Nat. Phenom. 5(6) (2010), 96-108.

• A Numerical Method for Nonlinear Age-Structured Population Models with Finite Maximum Age (with O. Angulo, J. C. López-Marcos, and M. A. López-Marcos), J. Math. Anal. & Appl. 361 (2010), 150-160.

• An SEIQR model for childhood diseases (with D. Gerberry), J. Math. Biol. 59(4) (2009), 535-561.

• Integrating immunological and epidemiological models (with L. Sega), in Anderssen, R.S., R.D. Braddock and L.T.H. Newham (Eds.), 18th World IMACS Congress and MODSIM09 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand and International Association for Mathematics and Computers in Simulation, July 2009. ISBN: 978-0-9758400-7-8. http://www.mssanz.org.au/modsim09/B4/milner.pdf, pp. 685-690 (2009).

• Editorial, J. Theor. Biol. 258(3) (2009), 337-338.

• The role of sexually abstained groups in two-sex demographic and epidemic logistic models with non-linear mortality (with D. Maxin), J. Theor. Biol. 258(3) (2009), 389-402.

• The Logistic, Two-Sex, Age-Structured Population Model (with K. Yang), J. Biol. Dynamics 3 (2009), 252–270.

• A fourth-order method for numerical integration of age- and size-structured population models (with M. Iannelli and T. Kostova-Vassilevska), Numer. Meth. Part. Diff. Eq. 25(4) (2009), 918-930.

• A mathematical model of Schistosoma mansoni in Biomphalaria glabrata with control strategies (with R. Zhao), Bull. Math. Biol. 70 (2008), 1886–1905.

• A Deterministic Model of Schistosomiasis with Spatial Structure (with R. Zhao), Math. Biosc. and Engin. 5 (2008), 505–522.

• Analysis of an S-I-R model with directed spatial diffusion (with R. Zhao), Math. Pop. Stud. 15 (2008), 160–181.

• The application of an age-structured model with unbounded mortality to demography (with O. Angulo and J. C. López-Marcos), Math. Biosc. 208 (2007), 495–520.

• The effect of non-reproductive groups on persistent sexually transmitted diseases (with D. Maxin), Math. Biosc. and Engin. 4 (2007), 505–522.

• A schistosomiasis model with an age-structure in human hosts (with Z. Feng and P. Zhang), Math. Biosc. 205 (2007), 83–107.

• Editorial: epidemics in wildlife (with M. Iannelli and T. Kostova), Math. Pop. Stud. 13(3) (2006), 117–118.

• How may segregation from sexual activity affect population growth?, Math. Biosc. and Engin. 2 (2005), 579–588.

• Schistosomiasis models with two migrating human groups (with Z. Feng and C.-C. Li), Math. and Comp. Mod. 41 (2005), 1213–1230.

• Definition of a high frequency threshold for plates and acoustical spaces (with R. J. Bernhard and G. Rabbiolo), J. Sound and Vibrat. 277 (2004), 647–667.

• Estimation of some parameters governing the transmission dynamics of schistosomes from field and laboratory data (with Z. Feng, J. Curtis, A. Eppert, and D. J. Minchella), Appl. Math. Lett. 17 (2004), 1105–1112.

• Existence and uniqueness of solutions for a diffusion model of host-parasite dynamics (with M. Langlais), J. Math. Anal. Applic. 279 (2003), 463–474.

• A diffusion model for host-parasite interaction (with C. A. Patton), J. Comp. Appl. Math. 154 (2003), 273–302.

Last updated on August 19, 2009