具有分布时滞的随机捕食模型分析

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2021-04-02 DOI:10.1515/rose-2021-2056

C. Gokila, M. Sambath

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引用次数: 1

摘要

摘要在本文中，我们考虑了一个具有疾病和分布延迟的随机捕食-被捕食模型。首先，我们为这种疾病的灭绝以及健康的猎物和捕食者的永久性建立了充分的条件。此外，我们还通过随机李雅普诺夫函数得到了遍历平稳分布存在的条件。最后，我们提供了一些数值模拟来验证我们的理论发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis on stochastic predator-prey model with distributed delay

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.

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来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量