Analysis on stochastic predator-prey model with distributed delay
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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.
2017 ◽
Vol 10
(08)
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pp. 1750119
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2019 ◽
Vol 513
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pp. 273-287
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2005 ◽
Vol 2005
(2)
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pp. 135-144
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2020 ◽
Vol 13
(03)
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pp. 2050018
2019 ◽
Vol 521
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pp. 467-475
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