Effects of Dispersal for a Logistic Growth Population in Random Environments
We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/912579 |
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| _version_ | 1832545637665603584 |
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| author | Xiaoling Zou Dejun Fan Ke Wang |
| author_facet | Xiaoling Zou Dejun Fan Ke Wang |
| author_sort | Xiaoling Zou |
| collection | DOAJ |
| description | We study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem. |
| format | Article |
| id | doaj-art-3c3d33e13ea04fab8910015666dbbb22 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3c3d33e13ea04fab8910015666dbbb222025-02-03T07:25:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/912579912579Effects of Dispersal for a Logistic Growth Population in Random EnvironmentsXiaoling Zou0Dejun Fan1Ke Wang2Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaWe study a stochastic logistic model with diffusion between two patches in this paper. Using the definition of stationary distribution, we discuss the effect of dispersal in detail. If the species are able to have nontrivial stationary distributions when the patches are isolated, then they continue to do so for small diffusion rates. In addition, we use some examples and numerical experiments to reflect that diffusions are capable of both stabilizing and destabilizing a given ecosystem.http://dx.doi.org/10.1155/2013/912579 |
| spellingShingle | Xiaoling Zou Dejun Fan Ke Wang Effects of Dispersal for a Logistic Growth Population in Random Environments Abstract and Applied Analysis |
| title | Effects of Dispersal for a Logistic Growth Population in Random Environments |
| title_full | Effects of Dispersal for a Logistic Growth Population in Random Environments |
| title_fullStr | Effects of Dispersal for a Logistic Growth Population in Random Environments |
| title_full_unstemmed | Effects of Dispersal for a Logistic Growth Population in Random Environments |
| title_short | Effects of Dispersal for a Logistic Growth Population in Random Environments |
| title_sort | effects of dispersal for a logistic growth population in random environments |
| url | http://dx.doi.org/10.1155/2013/912579 |
| work_keys_str_mv | AT xiaolingzou effectsofdispersalforalogisticgrowthpopulationinrandomenvironments AT dejunfan effectsofdispersalforalogisticgrowthpopulationinrandomenvironments AT kewang effectsofdispersalforalogisticgrowthpopulationinrandomenvironments |