E-mail kuang@asu.edu Phone 480-965-6015; FAX 480-965-8119
PUBLICATIONS of YANG KUANG
BOOKS:
Yang Kuang, Delay Differential Equations with
Applications in Population Dynamics,
volume 191 in the series of Mathematics in Science and Engineering,
Academic
Press.
1993. (398 pages)
Lansun Chen, Yang
Kuang,
Shigui Ruan and Glenn Webb, Advances in Mathematical
Biology , a
special issue (vol 4, #3, 2004) of
DCDS-B.
Mathematical Population Dynamics, in preparation.
REFEREED PUBLICATIONS:
Please note that the publishers are the copyright holders of the published articles97. Y. Kang, D. Armbruster
and Y. Kuang: Dynamics of a plant-herbivore
model, J. Biological
Dynamics, 2, 89-101 (2008). (pdf 1.1m).
95. V. Shi, A. Tridane and Y. Kuang: A
viral load-based cellular
automata approach to
modeling HIV dynamics and drug treatment, J. of Theor. Biol., 253, 24-35 (2008) (pdf 367k).
92. H. Wang, J. Li and Y. Kuang: Mathematical modeling and
qualitative
analysis of insulin therapies,
Math. Biosc., 210 (2007), 17-33. (pdf 380k)
89. J. Li and Y. Kuang: Analysis
of a model of the glucose-insulin regulatory system with two
delays, (pdf 712k
), SIAM J. Appl.
Math., 67, 757-776
(2007).
88. G. Sui, M. Fan, I. Loladze and Y. Kuang: The
Dynamics
of a Stoichiometric Plant-Herbivore
Model and Its Discrete Analog, (pdf1782K),
Math. Biosc. and Eng., 4, 29-46 (2007).
86. J.
Zhang,
M. Fan and Y. Kuang: Rabbits Killing Birds Revisited, Math. Biosci., 203,
100-123
(2006).
(pdf 1M).
85. A. Makroglou and Y. Kuang. Some analytical and numerical
results
for a nonlinear
Volterra integro-differential equation with periodic solution modeling
hematopoiesis,
HERMIS
Journal, 7, 1-17. (pdf364k).
80. S. A.
Gourley
and Y. Kuang: Two Species Competition with High Dispersal: The
Winning
Strategy, Math. Biosc. and Eng., 2, 345-362 (2005) (pdf
1568K)
77. Yang Kuang, Jef Huisman and James J. Elser: Stoichiometric
plant-herbivore models and
their interpretation, Math. Biosc. and Eng., 1, 215-222(2004) (pdf
228K)
75. M. Fan
and
Y. Kuang: Dynamics of nonautonomous predator prey system with
the Beddington -DeAngelis functional response,
(pdf 877k),
JMAA, 295, 15-39(2004).
74. C. R.
Miller,
Y. Kuang, W. F. Fagan and J. J. Elser: Modeling and analysis of
stoichiometric
two-patch consumer-resource systems. (pdf 704k ),
Mathematical
Biosciences,
Volume
189,
153-184 (2004)
73. Lansun
Chen, Yang Kuang, Shigui Ruan and Glenn Webb, Advances in
Mathematical
Biology,
a special issue (vol 4, #3, 2004) of DCDS-B.
72. Y. Kuang, J.
Nagy
and J. Elser: Biological stoichiometry of tumor dynamics: mathematical
models and analysis, Disc.
Cont.
Dyn. Sys., series B, 4,
221-240.
2004. ( pdf 243k
)
71. I.
Loladze,
Y. Kuang, J. J. Elser and W. F. Fagan: Coexistence of two predators on
one
prey mediated by stoichiometry. (pdf 406k
),
Theoretical Population Biology, 65, 1-15, 2004.
70. J.
Elser,
J. Nagy and Y. Kuang: Biological stoichiometry: an ecological
perspective
on tumor dynamics, ( pdf 339k
), BioScience, 53(2003), 1112-1120.
68. Y. Kuang, W. Fagan and I. Loladze:
Biodiversity, habitat area, resource growth
rate and interference competition, (22
pages), Bulletin of
Mathematical
Biology,
65(2003), 497-518 ( pdf 266k ).
67. S.-B. Hsu, T.-W. Hwang and Y. Kuang:
A Ratio-Dependent Food Chain Model and
Its Applications to Biological Control, Math. Biosc., 181(2003), 55-83. ( pdf 795k )
66. T.-W. Hwang and Y. Kuang:
Deterministic extinction effect of parasites on host
populations, J. Math. Biol., 46(2003), 17-30.( pdf 215k )
65. Y. Kuang: Basic properties of
mathematical population models, J.
of
Biomathematics,
17 (2002), 129-142.( pdf 150 k
).
64. Y. Li and Y. Kuang: Periodic
solutions in periodic state-dependent
delay equations and population models, Proc. of AMS. 130 (2002), 1345-1353 ( pdf 158k
)
63. E. Beretta and Y. Kuang:
Geometric stability switch criteria in delay differential
systems with delay dependent parameters, SIAM J. Math. Anal., 33 (2002),
1144-1165. (
SIAM
print version pdf 236k,
updated version after the print pdf 249k)
62. Y. Kuang: Global stability and persistence
in
diffusive food chains, (24 pages),
The ANZIAM
journal
(formerly the J. Austral. Math. Soc. B.), 43, (2001), 247-268. ( pdf 264k
)
61. S.-B. Hsu, T.-W. Hwang and Y. Kuang:
Rich
dynamics of a ratio-dependent one prey
two predator model, J. Math. Biol. 43(2001),
377-396 (pdf
198k
)
60. Y. Li and Y. Kuang: Periodic
solutions in periodic delayed Gause-type predator-prey
systems, Preceedings
of Dynamical Systems and Applications 3(2001), 375-382.( pdf 128k )
59. S.-B. Hsu, T.-W. Hwang and Y.
Kuang:
Global analysis of the Michaelis-Menten
type ratio-dependent predator-prey system, J. Math. Biol. 42, 489-506(2001) .( pdf 143k )
58. Y. Li and Y. Kuang: Periodic
solutions in periodic delay Lotka-Volterra equations and
systems, J.
Math. Anal. Appl., 255,
260-280(2001).( pdf 136k
)
57. J. Li, Yang Kuang and B. Li:
Analyses of
IVGTT glucose-insulin interaction models with
time delay, Discrete
Contin. Dynam. Systems, B. 1,
103--124(2001). ( pdf 298k
)
56. E. Beretta and Y. Kuang:
Modeling and analysis of a marine bacteriophage infection with
latency period, Nonlinear Analysis: Real World
Applications,
2, 35-74(2001).pdf 496K ,
Version after
the
proof (pdf 496K).
55. I. Loladze, Y. Kuang and J. Elser:
Stoichiometry
in producer-grazer systems: linking
energy flow and element cycling, Bull. Math. Biol., 62, 1137-1162(2000).( pdf, 425k
)
54. E. Beretta and Y. Kuang: Global stability
in
a well known delayed chemostat model,
Communications in Applied Analysis,
4, 147--155(2000).
53. B. Li, G. S. K. Wolkowicz and Y.
Kuang:
Global asymptotic behavior of a chemostat
model with two perfectly complementary resources
and
distributed delay, SIAM J.
Appl. Math.,
60, 2058-2086(2000). ( pdf 273k
)
52. B. Li and Y. Kuang: Simple food chain in a
chemostat
with distinct removal rates,
J. Math. Anal.
Appl.,
242, 75-92(2000). ( pdf 160k
)
51. W. Li, F. Szidarovszky and Y. Kuang:
Notes
on the stability of dynamic economic
systems, Appl.
Math.
& Computation, 108,
85--89(2000).
(pdf 75k
)
50. B. Li, Y. Kuang and H. Smith: Competition
between
plasmid-bearing and
plasmid-free microorganisms in a chemostat with
distinct
removal rates, Canadian
Applied
Math.Quarterly,
7, 251-281(1999)
49. Y. Kuang: Rich Dynamics of
Gause-type ratio-dependent
predator-prey systems,
Fields
Institute
Communications, 21,
325--337(1999).( pdf
142k
)
48. K. Cooke, Y. Kuang and Bingtuan Li:
Analysis
of an antiviral immune response
model with time delays, Proceedings of the third
Butler
conference, Canadian Applied
Math. Quarterly
,
6, 321--354(1998).
47. E. Beretta and Y. Kuang: Modeling and
analysis of a marine bacteriophage
infection. Math.
Biosc. 149,
57--76(1998). ( pdf 207k
)
46. Y. Kuang and E. Beretta: Global
qualitative analysis of a ratio-dependent
predator-prey system, J. Math. Biol. 36, 389--406(1998) (pdf 259k
)
45. E. Beretta and Y. Kuang: Global
analyses in some delayed ratio-dependent
predator-prey systems, Nonlinear Analysis, T.M.A., 32, 381--408(1998) ( pdf 891k
)
44. Bingtuan Li and Y. Kuang: Sharp
conditions for oscillations in some nonlinear
nonautonomous delay differential equations, Nonlinear Analysis, T.M.A. , 29, 1265--
1276(1997).(NA97 .pdf 307k )
43. B. R. Tang and Kuang: Existence and
uniqueness
of periodic solutions of periodic
functional differential systems, Tohoku Mathematical Journal, 49, 621--643(1997).
42. T. Zhao, Y. Kuang and H.L. Smith:
Global
existence of periodic solutions in a
class of delayed Gause-type predator-prey
systems,
Nonlinear Analysis, TMA, 28,
1373--1394(1997).
41. E. Beretta and Y. Kuang: Convergence
results
in a well known delayed
predator-prey system, J. Math. Anal. Appl. 204, 840--853(1996) ( pdf, 165k
).
40. Y. Kuang and J. M. Cushing: Global
stability in a nonlinear difference-delay
equation model of flour beetle population growth,
J. Difference Equations and
Applications,
2, 31--37(1996).
39. Y. Kuang: 3/2 stability results for
nonautonomous
state-dependent delay
differential equations, in Differential Equations
and
Applications to Biology and
Industry, Proc. of Busenberg DE conf., Martelli
et
al. ed., 261--270, World
Scientific, 1996.
38. Y. Kuang: Global stability in
delayed nonautonomous
Lotka-Volterra type
systems without saturated equilibria,
Differential and Integral Equations. 9,
557--
567(1996).
37. B. R. Tang and Y. Kuang: Permanence
in
Kolmogorov-type systems of
nonautonomous functional differential equations,
J.
Math. Anal. Appl. 197, 427-
447(1996). (jmaa96a .pdf 221k
)
36. Y. Kuang and J. W.-H. So: Analysis
of
a delayed two-stage population model
with space-limited recruitment, SIAM J. Appl.
Math.
55, 1675--1696(1995).
(
siamap95.pdf
1760k )
35. Y. Kuang: Global stability in delay
differential
systems without dominating
instantaneous negative feedbacks. J. Diff. Eqns., 119, 503--532(1995).( jde95.pdf, 721k
)
34. H. I. Freedman and Y. Kuang: Some
global
qualitative analysis of a single
species neutral delay differential population
model,
Rocky Mount. J. Math., 25,
201--215(1995).
33. Y. Kuang: Nonoccurrence of stability
switching in systems of differential
equations with distributed delays, Quart. Appl. Math. LII, 569--578(1994).
32. Y. Kuang and Y. Takeuchi:
Predator-prey dynamics in models of prey dispersal in two
patch environments, Math. Biosci. 120, 77-98(1994).(PDF1.2M)
31. Y. Kuang and B. R. Tang: Uniform
persistence
in nonautonomous delay differential
Kolmogorov-type population models, Rocky Mountain J. Math., 24, 1--22(1994)
30. Y. Kuang, Delay Differential Equations
with
Applications in Population Dynamics,
volume 191 in the series of Mathematics in
Science
and Engineering, Academic Press.
1993. (398 pages) (
where to buy )
29. B. R. Tang, Y. Kuang and H. L.
Smith: Strictly
nonautonomous cooperative system
with a first integral, SIAM J. Math. Anal., 24, 1331--1339(1993).
28. Y. Kuang and H. L. Smith: Global
stability
for infinite delay Lotka-Volterra type
systems, J.
Differential
Equations, 103,
221--246(1993). (jde93.pdf, 721k
)
27. Y. Kuang and H. L. Smith:
Convergence in
Lotka-Volterra type delay systems
without instantaneous feedbacks, Proc. Roy. Soc.
Edinburgh,
123A, 45--58(1993).
26. Y. Kuang and H. L. Smith:
Convergence in
Lotka-Volterra type diffusive delay
systems without dominating instantaneous negative
feedbacks, J.
Austral. Math. Soc.
Ser. B. 34, 471--493(1993).
25. Y. Kuang: Global stability in one or
two
species neutral delay population models, Canad.
Appl. Math.
Quart.
1, 23--45(1993).
24. Y. Kuang and H. L. Smith: Slowly
oscillating
periodic solutions of autonomous
state-dependent delay equations, Nonlinear Analysis, T.M.A. 19, 855--872(1992). (PDF1.2M)
23. Y. Kuang: Global attractivity and periodic
solutions
in delay differential equations related
to models of physiology and population biology, Japan Journal of Industrial and Applied
Mathematics.
9, 205--238(1992).
22. J. R. Haddock and Y. Kuang: Asymptotic
theory
for a class of nonautonomous delay
differential equations, J. Math. Anal. Appl. 168, 147--162 (1992).(PDF657K)
21. H. L. Smith and Y. Kuang: Periodic
solutions
of delay differential equations of
threshold-type delay, in: Oscillation and
Dynamics
in Delay Equations, Graef and
Hale ed. 153--176, Contemporary Mathematics 129, AMS, Providence, 1992.
20. Y. Kuang: Qualitative analysis of one or
two
species neutral delay population models,
SIAM J. Math Anal. 23, 181--200 (1992).
19. Y. Kuang, B. G. Zhang and T. Zhao:
Qualitative
analysis of a nonautonomous nonlinear
delay-differential equation, Tohoku Math. J., 43, 509--528 (1991).
18. Y. Kuang: m Global stability for a class
of
nonlinear nonautonomous delay equations,
Nonlinear Analysis, T.M.A. 17, 627-634 (1991).(PDF525K)
17. Y. Kuang: Boundedness of solutions
in
neutral delay predator-prey and competition
systems, in: Differential Equations Models in
Biology,
Epidemiology and Ecology,
S. Busenberg and M. Martelli ed,
210--218(1991)(Lecture Notes in Biomathematics 92,
Springer-Verlag).
16. Y. Kuang, R. H. Martin and H. L.
Smith: Global stability for infinite delay, dispersive
Lotka-Volterra systems: weakly interacting
populations
in nearly identical patches, Journal
of Dynamics and Differential Equations, 3, 339-360 (1991).
15. Y. Kuang: On neutral delay logistic
Gause-type
predator-prey systems, Dynamics
and Stability of Systems, 6, 173-189 (1991).
14. H. I. Freedman and Y. Kuang:
Stability switches in linear scalar neutral delay equations,
Funkcialaj
Ekvacioj, 34, 187-209
(1991).
(pdf 1.24M)
13. Y. Kuang and A. Feldstein:
Boundedness of solutions of a nonlinear nonautonomous
neutral delay equation, J. Math. Anal. Appl. 156, 193-204 (1991).
(PDF468K)
12. Y. Kuang and H. L. Smith: Global
stability
in diffusive delay Lotka-Volterra systems,
Differential and Integral Equations, 4, 117-128 (1991).
11. Y. Kuang: On neutral-delay
two-species Lotka-Volterra competitive systems, J.
Austral. Math. Soc. Ser. B 32, 311-326 (1991).
10. Y. Kuang and A. Feldstein: Monotonic
and
oscillatory solutions of a linear neutral
delay equation with infinite lag, SIAM J. Math.
Anal.
21, 1633-1641 (1990).
9. H. I. Freedman and Y. Kuang:
Uniqueness of limit cycles in Lienard type equations,
Nonlinear Analysis,T.M.A. 15, 333-338 (1990). (PDF368K)
8. Y. Kuang: Global stability of
Gause-type predator-prey systems, J. Math. Biol. 28,
463-474 (1990).
7. Y. Kuang: Finiteness of limit cycles
in
planar autonomous systems, Appl. Anal.
32,
253-264
(1989).
6. Y. Kuang: Limit cycles in a
chemostat-related model, SIAM J. Appl. Math. 49,
1759-1767 (1989). (siamap89. pdf 649k
)
5. Y. Kuang: On the location and period
of
limit cycles in Gause-type predator-prey systems,
J. Math. Anal. Appl., 142, 130-143 (1989).
(PDF620K)
4. Y. Kuang: Nonuniqueness of limit
cycles of Gause-type predator-prey systems, Appl.
Anal. 29,
269-287
(1988).
3. Y. Kuang and H. I. Freedman:
Uniqueness of limit cycles in Gause-type Models of
predator-prey systems, Math. Biosci. 88, 67-84 (1988) (745k)
2. Y. Kuang and C. McDiarmid: On the
bandwidth
of random graphs, Ars Combinatoria,
20-A,
29-36
(1985).
1. Y. Kuang: Another method of the
``chip-test'' of the associative law of finite group, J. of U.
of Sci. & Tech. of China, May, 174-178 (1983)
(in Chinese).