Analysis on stochastic predator-prey mode with distributed delay

被引：2
|
作者：
Gokila, C. [1 ]
Sambath, M. [1 ]
机构：
[1] Periyar Univ, Dept Math, Salem 636011, India
来源：
RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2021年 / 29卷 / 02期
关键词：
Stochastic predator-prey model; distributed delay; extinction; stationary distribution; DISEASE;
D O I：
10.1515/rose-2021-2056
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In the present work, we consider a stochastic predator-prey model with disease in prey and distributed delay. Firstly, we establish sufficient conditions for the extinction of the disease and also permanence of healthy prey and predator. Besides, we obtain the condition for the existence of an ergodic stationary distribution through the stochastic Lyapunov function. Finally, we provide some numerical simulations to validate our theoretical findings.
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页码：97 / 110
页数：14
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