Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses
This paper is devoted to stochastic delayed one-predator and two-competing-prey systems with two kinds of different functional responses. By establishing appropriate Lyapunov functions, the globally positive solution and stochastic boundedness are investigated. In some case, the stochastic permanenc...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7676101 |
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| _version_ | 1832566898593628160 |
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| author | Changjian Wang Zuoliang Xiong Rensheng He Hongwei Yin |
| author_facet | Changjian Wang Zuoliang Xiong Rensheng He Hongwei Yin |
| author_sort | Changjian Wang |
| collection | DOAJ |
| description | This paper is devoted to stochastic delayed one-predator and two-competing-prey systems with two kinds of different functional responses. By establishing appropriate Lyapunov functions, the globally positive solution and stochastic boundedness are investigated. In some case, the stochastic permanence and extinction are also obtained. Moreover, sufficient conditions of the global asymptotic stability of the system are established. Finally, some numerical examples are provided to explain our conclusions. |
| format | Article |
| id | doaj-art-64bac72d5bec40b89cfc42b058671f2f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-64bac72d5bec40b89cfc42b058671f2f2025-02-03T01:02:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/76761017676101Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional ResponsesChangjian Wang0Zuoliang Xiong1Rensheng He2Hongwei Yin3Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, ChinaThis paper is devoted to stochastic delayed one-predator and two-competing-prey systems with two kinds of different functional responses. By establishing appropriate Lyapunov functions, the globally positive solution and stochastic boundedness are investigated. In some case, the stochastic permanence and extinction are also obtained. Moreover, sufficient conditions of the global asymptotic stability of the system are established. Finally, some numerical examples are provided to explain our conclusions.http://dx.doi.org/10.1155/2016/7676101 |
| spellingShingle | Changjian Wang Zuoliang Xiong Rensheng He Hongwei Yin Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses Discrete Dynamics in Nature and Society |
| title | Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses |
| title_full | Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses |
| title_fullStr | Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses |
| title_full_unstemmed | Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses |
| title_short | Dynamical Behaviors of Stochastic Delayed One-Predator and Two-Competing-Prey Systems with Holling Type IV and Crowley-Martin Type Functional Responses |
| title_sort | dynamical behaviors of stochastic delayed one predator and two competing prey systems with holling type iv and crowley martin type functional responses |
| url | http://dx.doi.org/10.1155/2016/7676101 |
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