Bifurcation analysis of a delayed predator-prey model of prey migration and predator switching

키워드

참고문헌 (26)

1. E. Beretta, "Convergence results in SIR epidemic model with varying populations sizes", Nonlinear Anal, 28(12), pp.1909~1921 (1997)
2. R. Bhattacharyya, "Spatial dynamics of nonlinear prey-predator models with prey migration and predator switching", Ecol. Complex, 3(2), pp.160~169 (2006)
3. F. D. Chen, "On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay", J. Comput. Appl. Math, 180(1), pp.33~49 (2005)
4. L. J. Chen, "Permanence for a delayed predator-prey model of prey dispersal in two-patch environments", J. Appl. Math. Comput, 34(1), pp.207~232 (2010)
5. F. D. Chen, "Permanence and extinction in nonlinear single and multiple species system with diffusion", Appl. Math. Comput, 77(1), pp.410~426 (2006)
6. S. J. Gao, "Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator", Appl. Math. Comput, 202(2), pp.721~729 (2008)
7. J. Hale, "Theory of Functional Differential Equation" (1977), Springer-Verlag
8. J. Hale, "Introduction to Functional Differential Equations" (1993), Springer-Verlag
9. B. Hassard, "Theory and Applications of Hopf Bifurcation" (1981), Cambridge University Press
10. H. W. Hethcote, "The mathematics of infectious diseases", SIAM Rev, 42(4), pp.599~653 (2000)
11. Y. Kuang, "Predator-prey dynamics in models of prey dispersal in two- patch environments", Math. Biosci, 120(1), pp.77~98 (1994)
12. G. H. Li, "Global stability of an SEI epidemic model", Chaos Solitons Fractals, 21(4), pp.925~931 (2004)
13. G. H. Li, "Global stability of an SEI epidemic model with general contact rate", Chaos Soliton. Fract, 23(3), pp.997~1004 (2005)
14. Prajneshu, "A prey-predator model with switching effect", J. Theoret. Biol, 125(1) (1987)
15. S. G. Ruan, "On the zeros of transcendental functions with applications to stability of delay differential equations with two delays", Dynam. Contin. Dis. Ser. A, 10(6), pp.863~874 (2003)
16. B. Shulgin, "Pulse vaccination strategy in the SIR epidemic model", Bull. Math. Bio, 60, pp.1~26 (1998)
17. C. J. Sun, "Stability and Hopf bifurcation for an epidemic disease model with delay", Chaos Soliton. Fract, 30(1), pp.204~216 (2006)
18. C. J. Sun, "Global stability for an special SEIR epidemic model with nonlinear incidence rates", Chaos Solitons Fractals, 33(1), pp.290~297 (2007)
19. Y. Takeuchi, "Permanence of dispersal population model with time delays", J. Comput. Appl. Math, 192(2), pp.417~430 (2006)
20. M. Tansky, "Switching effects in prey-predator system", J. Theoret. Biol, 70(3), pp.263~271 (1978)
21. E. I. Teramoto, "Switching effects of predaption on competitive prey species", J. Theor. Bio, 79(2), pp.303~315 (1979)
22. R. Xu, "Periodic solutions for a delayed predator- prey model of prey dispersal in two-patch environments", Nonlinear Anal. Real World Appl, 5(1), pp.183~206 (2004)
23. R. Xu, "Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure", Chaos Soliton. Fract, 38(3), pp.669~684 (2008)
24. K. Yang, "Delay Differential Equations with Applications in Population Dynamics" (1993), Academic Press, INC
25. T. Zhao, "Global existence of periodic solution in a class of Gause-type predator-prey systems", Nonlinear Anal, 28(8), pp.1373~1378 (1997)
26. X. Y. Zhou, "Analysis of non-autonomous predator-prey model with nonlinear diffusion and time delay", Appl. Math. Comput, 196(1), pp.129~136 (2008)

관련 논문AI추천