Persistence and extinction of a stochastic delay predator-prey model under regime switching

被引:0
作者
Zhen Hai Liu
Qun Liu
机构
[1] Guangxi University for Nationalities,
来源
Applications of Mathematics | 2014年 / 59卷
关键词
persistence; extinction; Markov switching; delay; stochastic perturbations; 34B16; 34C25;
D O I
暂无
中图分类号
学科分类号
摘要
The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results.
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页码:331 / 343
页数:12
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共 22 条
[1]  
Cheng S. R.(2009)Stochastic population systems Stochastic Anal. Appl. 27 854-874
[2]  
Higham D. J.(2001)An algorithmic introduction to numerical simulation of stochastic differential equations SIAM Rev. 43 525-546
[3]  
Li X.(2011)Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching J. Math. Anal. Appl. 376 11-28
[4]  
Gray A.(2013)Persistence and extinction of a stochastic delay logistic equation under regime switching Appl. Math. Lett. 26 140-144
[5]  
Jiang D.(2012)Persistence, extinction and global asymptotical stability of a nonautonomous predator-prey model with random perturbation Appl. Math. Modelling 36 5344-5353
[6]  
Mao X.(2009)Stochastic population dynamics under regime switching II J. Math. Anal. Appl. 355 577-593
[7]  
Liu M.(2002)Environmental Brownian noise suppresses explosions in population dynamics Stochastic Processes Appl. 97 95-110
[8]  
Li W.(1992)Influence of environmental noise in Gompertzian growth model J. Math. Phys. Sci. 26 503-511
[9]  
Wang K.(1993)Logistic growth under colored noise Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 37 115-122
[10]  
Liu M.(1990)On stability and fluctuation in Gompertzian and logistic growth models Appl. Math. Lett. 3 119-121