The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey
This paper concerns a stochastic Lotka-Volterra model with two predators competing for one prey. The sufficient conditions which guarantee the principle of competitive exclusion for this perturbed model are given by using Lyapunov analysis methods. Numerical simulations for a set of parameter values...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/7312581 |
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| _version_ | 1850217216247595008 |
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| author | Zhongwei Cao Qiumei Zhang Yanan Zhao |
| author_facet | Zhongwei Cao Qiumei Zhang Yanan Zhao |
| author_sort | Zhongwei Cao |
| collection | DOAJ |
| description | This paper concerns a stochastic Lotka-Volterra model with two predators competing for one prey. The sufficient conditions which guarantee the principle of competitive exclusion for this perturbed model are given by using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings. |
| format | Article |
| id | doaj-art-3efdab722e2b4ff1881e4eb7b70ddb1b |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3efdab722e2b4ff1881e4eb7b70ddb1b2025-08-20T02:08:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/73125817312581The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One PreyZhongwei Cao0Qiumei Zhang1Yanan Zhao2Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117, ChinaSchool of Science, Changchun University, Changchun 130022, ChinaSchool of Science, Changchun University, Changchun 130022, ChinaThis paper concerns a stochastic Lotka-Volterra model with two predators competing for one prey. The sufficient conditions which guarantee the principle of competitive exclusion for this perturbed model are given by using Lyapunov analysis methods. Numerical simulations for a set of parameter values are presented to illustrate the analytical findings.http://dx.doi.org/10.1155/2018/7312581 |
| spellingShingle | Zhongwei Cao Qiumei Zhang Yanan Zhao The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey Discrete Dynamics in Nature and Society |
| title | The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey |
| title_full | The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey |
| title_fullStr | The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey |
| title_full_unstemmed | The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey |
| title_short | The Principle of Competitive Exclusion about a Stochastic Lotka-Volterra Model with Two Predators Competing for One Prey |
| title_sort | principle of competitive exclusion about a stochastic lotka volterra model with two predators competing for one prey |
| url | http://dx.doi.org/10.1155/2018/7312581 |
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