Analysis of a Stochastic Competitive Model with Distributed Time Delays and Jumps in a Polluted Environment

Taolin Zhang, Yuanfu Shao, Xiaowan She and Maria Alessandra Ragusa

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-15

Abstract: In this paper, a stochastic competitive model with distributed time delays and Lévy jumps is formulated. With or without a polluted environment, the model is denoted by (M) or (M0), respectively. The existence of positive solution, persistence in mean, and extinction of species for (M) and (M0) are both studied. The sufficient criteria of stability in distribution for model (M) is obtained. Finally, some numerical simulations are given to illustrate our theoretical results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6698770

DOI: 10.1155/2021/6698770

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