Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments
In the world today, with the rapid development of modern agriculture and industry, a large quantity of pollutants enter into ecosystems one by one, which is a threat to the persistence of the exposed populations. This paper investigates a stochastic delayed competitive system with impulsive toxicant...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/634871 |
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| _version_ | 1832547487501516800 |
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| author | Meiling Deng Meng Liu Chuanzhi Bai |
| author_facet | Meiling Deng Meng Liu Chuanzhi Bai |
| author_sort | Meiling Deng |
| collection | DOAJ |
| description | In the world today, with the rapid development of modern agriculture and industry, a large quantity
of pollutants enter into ecosystems one by one, which is a threat to the persistence of the
exposed populations. This paper investigates a stochastic delayed competitive system with impulsive
toxicant input in a polluted environment. Under a simple condition, sufficient and necessary
conditions for stability in the mean and extinction of each species are established. Some
recent works are improved and extended greatly. Some numerical simulations are also included
to illustrate and support the findings. |
| format | Article |
| id | doaj-art-1cdfa6cfe3e04686908935c4ac36224b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1cdfa6cfe3e04686908935c4ac36224b2025-02-03T06:44:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/634871634871Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted EnvironmentsMeiling Deng0Meng Liu1Chuanzhi Bai2School of Mathematical Science, Huaiyin Normal University, Huaian 223300, ChinaSchool of Mathematical Science, Huaiyin Normal University, Huaian 223300, ChinaSchool of Mathematical Science, Huaiyin Normal University, Huaian 223300, ChinaIn the world today, with the rapid development of modern agriculture and industry, a large quantity of pollutants enter into ecosystems one by one, which is a threat to the persistence of the exposed populations. This paper investigates a stochastic delayed competitive system with impulsive toxicant input in a polluted environment. Under a simple condition, sufficient and necessary conditions for stability in the mean and extinction of each species are established. Some recent works are improved and extended greatly. Some numerical simulations are also included to illustrate and support the findings.http://dx.doi.org/10.1155/2014/634871 |
| spellingShingle | Meiling Deng Meng Liu Chuanzhi Bai Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments Abstract and Applied Analysis |
| title | Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments |
| title_full | Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments |
| title_fullStr | Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments |
| title_full_unstemmed | Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments |
| title_short | Dynamics of a Stochastic Delayed Competitive Model with Impulsive Toxicant Input in Polluted Environments |
| title_sort | dynamics of a stochastic delayed competitive model with impulsive toxicant input in polluted environments |
| url | http://dx.doi.org/10.1155/2014/634871 |
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