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 in | Methodology and computing in applied probability Vol. 23; no. 4; pp. 1435 - 1459 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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New York
Springer US
01.12.2021
Springer Nature B.V |
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| 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. |
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| AbstractList | 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. |
| Author | Ning, Wenxu Liu, Zhijun Tan, Ronghua Wang, Lianwen |
| Author_xml | – sequence: 1 givenname: Wenxu surname: Ning fullname: Ning, Wenxu organization: School of Mathematics and Statistics, Hubei Minzu University – sequence: 2 givenname: Zhijun orcidid: 0000-0003-3383-5621 surname: Liu fullname: Liu, Zhijun email: zjliu@hbmzu.edu.cn, zhijun_liu47@hotmail.com organization: School of Mathematics and Statistics, Hubei Minzu University – sequence: 3 givenname: Lianwen surname: Wang fullname: Wang, Lianwen organization: School of Mathematics and Statistics, Hubei Minzu University – sequence: 4 givenname: Ronghua surname: Tan fullname: Tan, Ronghua organization: School of Mathematics and Statistics, Hubei Minzu University |
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| CitedBy_id | crossref_primary_10_3934_mbe_2021157 crossref_primary_10_3934_dcdsb_2022078 crossref_primary_10_1016_j_chaos_2022_112458 crossref_primary_10_3934_math_2023076 crossref_primary_10_1007_s12346_023_00743_w crossref_primary_10_1007_s12190_022_01815_x crossref_primary_10_11948_20230271 |
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| Keywords | 60H10 92D25 Coupling noise sources Competitive model Survival Distributed delay Stationary distribution |
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| Title | Analysis of a Stochastic Competitive Model with Saturation Effect and Distributed Delay |
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