Existence, Stationary Distribution, and Extinction of Predator-Prey System of Prey Dispersal with Stochastic Perturbation
暂无分享,去创建一个
Li Zu | Daqing Jiang | Fuquan Jiang | D. Jiang | Li Zu | Fuquan Jiang
[1] R. Khasminskii. Stochastic Stability of Differential Equations , 1980 .
[2] Xuerong Mao,et al. Stochastic differential delay equations of population dynamics , 2005 .
[3] Daqing Jiang,et al. Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation , 2009 .
[4] H. I. Freedman,et al. Global stability and predator dynamics in a model of prey dispersal in a patchy environment , 1989 .
[5] D. Jiang,et al. Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation , 2010 .
[6] Z. Teng,et al. Boundedness and permanence in a class of periodic time-dependent predator–prey system with prey dispersal and predator density-independence , 2008 .
[7] Michael Y. Li,et al. A graph-theoretic approach to the method of global Lyapunov functions , 2008 .
[8] Xuerong Mao,et al. Stochastic Differential Equations With Markovian Switching , 2006 .
[9] Xuerong Mao,et al. Population dynamical behavior of Lotka-Volterra system under regime switching , 2009, J. Comput. Appl. Math..
[10] Wang Wendi,et al. Asymptotic Behavior of a Predator–Prey System with Diffusion and Delays , 1997 .
[11] Michael Y. Li,et al. Global-stability problem for coupled systems of differential equations on networks , 2010 .
[12] Rui Xu,et al. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment , 2000 .
[13] Y. K. Lin,et al. Stochastic analysis of predator–prey type ecosystems , 2007 .
[14] Yasuhiro Takeuchi,et al. Global asymptotic behavior in single-species discrete diffusion systems , 1993 .
[15] Desmond J. Higham,et al. An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations , 2001, SIAM Rev..
[16] Xuerong Mao,et al. Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation , 2009 .
[17] Jingan Cui,et al. The effect of dispersal on permanence in a predator-prey population growth model☆ , 2002 .
[18] Zhidong Teng,et al. Permanence and extinction of periodic predator-prey systems in a patchy environment with delay , 2003 .
[19] Víctor Padrón,et al. Environmentally induced dispersal under heterogeneous logistic growth. , 2006, Mathematical biosciences.
[20] Y. Takeuchi,et al. Predator-prey dynamics in models of prey dispersal in two-patch environments. , 1994, Mathematical biosciences.
[21] Yasuhiro Takeuchi,et al. Global stability and periodic orbits for two-patch predator-prey diffusion-delay models , 1987 .