1 |
E. Beretta and Y. Takeuchi, Convergence results in SIR epidemic model with varying populations sizes, Nonlinear Anal. 28 (1997), no. 12, 1909-1921.
DOI
ScienceOn
|
2 |
R. Bhattacharyya and B. Mukhopadhyay, Spatial dynamics of nonlinear prey-predator models with prey migration and predator switching, Ecol. Complex. 3 (2006), no. 2, 160-169.
DOI
ScienceOn
|
3 |
F. D. Chen, On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay, J. Comput. Appl. Math. 180 (2005), no. 1, 33-49.
DOI
ScienceOn
|
4 |
L. J. Chen, Permanence for a delayed predator-prey model of prey dispersal in two-patch environments, J. Appl. Math. Comput. 34 (2010), no. 1-2, 207-232.
DOI
|
5 |
F. D. Chen and X. D. Xie, Permanence and extinction in nonlinear single and multiple species system with diffusion, Appl. Math. Comput. 177 (2006), no. 1, 410-426.
DOI
ScienceOn
|
6 |
S. J. Gao, L. S. Chen, and Z. D. Teng, Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator, Appl. Math. Comput. 202 (2008), no. 2, 721-729.
DOI
ScienceOn
|
7 |
J. Hale, Theory of Functional Differential Equation, Springer-Verlag, 1977.
|
8 |
J. Hale and S. Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993.
|
9 |
B. Hassard, D. Kazarino, and Y. Wan, Theory and Applications of Hopf Bifurcation, Cambridge University Press, Cambridge, 1981.
|
10 |
H. W. Hethcote, The mathematics of infectious diseases, SIAM Rev. 42 (2000), no. 4, 599-653.
DOI
ScienceOn
|
11 |
Y. Kuang and Y. Takeuchi, Predator-prey dynamics in models of prey dispersal in two-patch environments, Math. Biosci. 120 (1994), no. 1, 77-98.
DOI
ScienceOn
|
12 |
G. H. Li and Z. Jin, Global stability of an SEI epidemic model, Chaos Solitons Fractals 21 (2004), no. 4, 925-931.
DOI
ScienceOn
|
13 |
G. H. Li and Z. Jin, Global stability of an SEI epidemic model with general contact rate, Chaos Soliton. Fract. 23 (2005), no. 3, 997-1004.
|
14 |
Prajneshu and P. Holgate, A prey-predator model with switching effect, J. Theoret. Biol. 125 (1987), no. 1,
|
15 |
S. G. Ruan and J. J. Wei, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays, Dynam. Contin. Dis. Ser. A 10 (2003), no. 6, 863-874.
|
16 |
B. Shulgin, L. Stone, and Z. Agur, Pulse vaccination strategy in the SIR epidemic model, Bull. Math. Bio. 60 (1998), 1-26.
DOI
ScienceOn
|
17 |
C. J. Sun, Y. P. Lin, and M. A. Han, Stability and Hopf bifurcation for an epidemic disease model with delay, Chaos Soliton. Fract. 30 (2006), no. 1, 204-216.
DOI
ScienceOn
|
18 |
M. Tansky, Switching effects in prey-predator system, J. Theoret. Biol. 70 (1978), no. 3, 263-271.
DOI
|
19 |
C. J. Sun, Y. P. Lin, and S. P. Tang, Global stability for an special SEIR epidemic model with nonlinear incidence rates, Chaos Solitons Fractals 33 (2007), no. 1, 290-297.
|
20 |
Y. Takeuchi, J. A. Cui, R. Miyazaki, and Y. Satio, Permanence of dispersal population model with time delays, J. Comput. Appl. Math. 192 (2006), no. 2, 417-430.
DOI
ScienceOn
|
21 |
E. I. Teramoto, K. Kawasaki, and N. Shigesada, Switching effects of predaption on competitive prey species, J. Theor. Bio. 79 (1979), no. 2, 303-315.
DOI
|
22 |
R. Xu, M. A. J. Chaplain, and F. A. Davidson, Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments, Nonlinear Anal. Real World Appl. 5 (2004), no. 1, 183-206.
DOI
ScienceOn
|
23 |
R. Xu and Z. E. Ma, Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure, Chaos Soliton. Fract. 38 (2008), no. 3, 669-684.
DOI
ScienceOn
|
24 |
K. Yang, Delay Differential Equations with Applications in Population Dynamics, Academic Press, INC, 1993.
|
25 |
T. Zhao, Y. Kuang, and H. L. Simith, Global existence of periodic solution in a class of Gause-type predator-prey systems, Nonlinear Anal. 28 (1997), no. 8, 1373-1378.
DOI
ScienceOn
|
26 |
X. Y. Zhou, X. Y. Shi, and X. Y. Song, Analysis of non-autonomous predator-prey model with nonlinear diffusion and time delay, Appl. Math. Comput. 196 (2008), no. 1, 129-136.
DOI
ScienceOn
|