A stochastic prey-predator model with time-dependent delays

被引：3
|
作者：
Dai, Xiangjun [1 ]
Mao, Zhi [1 ]
Li, Xiaojun [1 ]
机构：
[1] TongRen Univ, Sch Data Sci, Tongren 554300, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
prey-predator system; time-dependent delays; stochastically ultimate bounded; persistence; extinction; RANDOM PERTURBATION; LOGISTIC EQUATION; COMPETITIVE MODEL; GLOBAL STABILITY; PERSISTENCE; EXTINCTION; DIFFUSION; SYSTEMS;
D O I：
10.1186/s13662-017-1321-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A stochastic predator-prey system with time-dependent delays is considered. Firstly, we show the existence of a global positive solution and stochastically ultimate boundedness. Secondly, the critical value between weak persistence and extinction of the prey is obtained and we also give the asymptotic pathwise estimation. Finally, we simulate the model to illustrate our results.
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页数：15
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