Analysis of a Stochastic Competitive Model with Saturation Effect and Distributed Delay

Wenxu Ning (), Zhijun Liu (), Lianwen Wang () and Ronghua Tan ()
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Wenxu Ning: Hubei Minzu University
Zhijun Liu: Hubei Minzu University
Lianwen Wang: Hubei Minzu University
Ronghua Tan: Hubei Minzu University

Methodology and Computing in Applied Probability, 2021, vol. 23, issue 4, 1435-1459

Abstract: Abstract This work is concerned with a novel stochastic competitive model with saturation effect and distributed delay, in which two coupling noise sources are incorporated and the interspecific competition delayed terms show saturation effect. A good understanding of exponential extinction, extinction, persistence in the mean and permanence in time average of two species are gained. Also, with the help of Lyapunov function and the global attraction of positive solution, we derive the existence and uniqueness of stationary distribution. Our main results reveal that the coupling noise sources can significantly change the survival results of two species and affect the existence of a unique stationary distribution.

Keywords: Competitive model; Coupling noise sources; Distributed delay; Survival; Stationary distribution; 92D25; 60H10 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11009-020-09824-8

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