Stationary distribution and extinction of a stochastic predator–prey model with distributed delay

2018 ◽  
Vol 78 ◽  
pp. 79-87 ◽  
Author(s):  
Qun Liu ◽  
Daqing Jiang
Keyword(s):  
Stationary Distribution ◽  
Distributed Delay ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model

Analysis on stochastic predator-prey model with distributed delay

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
C. Gokila ◽  
M. Sambath
Keyword(s):  
Lyapunov Function ◽  
Numerical Simulations ◽  
Stationary Distribution ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Disease In Prey ◽  
Stochastic Lyapunov Function

Abstract 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.

Stationary distribution and extinction of a stochastic predator–prey model with herd behavior

2018 ◽  
Vol 355 (16) ◽  
pp. 8177-8193 ◽  
Author(s):  
Qun Liu ◽  
Daqing Jiang ◽  
Tasawar Hayat ◽  
Ahmed Alsaedi
Keyword(s):  
Stationary Distribution ◽  
Herd Behavior ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model
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