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Dynamic of a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments
International Journal of Biomathematics ( IF 2.2 ) Pub Date : 2020-10-15 , DOI: 10.1142/s1793524521500029
Yongxin Gao 1 , Nana Wang 1 , Shiquan Tian 1
Affiliation  

This paper is concerned with a stochastic delayed one-predator two-prey model with Lévy jumps in polluted environments. First, under some simple assumptions, we prove that there exists a unique global nonnegative solution which is permanent in time average. Moreover, sufficient criteria for the extinction of each species are obtained. Finally, we carry out some numerical simulations to verify the theoretical results.

中文翻译:

污染环境中具有 Lévy 跳跃的随机延迟一捕食者二猎物模型的动力学

本文关注在污染环境中具有 Lévy 跳跃的随机延迟一捕食者二猎物模型。首先,在一些简单的假设下,我们证明存在一个唯一的全局非负解,它在时间平均上是永久的。此外,获得了每个物种灭绝的充分标准。最后,我们进行了一些数值模拟来验证理论结果。
更新日期:2020-10-15
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