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

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, pers...

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Published inMethodology and computing in applied probability Vol. 23; no. 4; pp. 1435 - 1459
Main Authors Ning, Wenxu, Liu, Zhijun, Wang, Lianwen, Tan, Ronghua
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2021
Springer Nature B.V
Subjects
Business and Management
Coupling
Economics
Electrical Engineering
Endangered & extinct species
Liapunov functions
Life Sciences
Mathematics and Statistics
Saturation
Statistics
60H10
92D25
Coupling noise sources
Competitive model
Survival
Distributed delay
Stationary distribution
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-020-09824-8