Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction
This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundednes...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/918569 |
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| _version_ | 1832550911375835136 |
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| author | Zheng Wu Hao Huang Lianglong Wang |
| author_facet | Zheng Wu Hao Huang Lianglong Wang |
| author_sort | Zheng Wu |
| collection | DOAJ |
| description | This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundedness are obtained, respectively. Finally, an example is given to illustrate the main results. |
| format | Article |
| id | doaj-art-6d4c25a1fd4e4ba6afef44cc6f13d351 |
| 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-6d4c25a1fd4e4ba6afef44cc6f13d3512025-02-03T06:05:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/918569918569Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and ExtinctionZheng Wu0Hao Huang1Lianglong Wang2School of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaSchool of Mathematical Sciences, Anhui University, Hefei 230039, ChinaThis paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive solutions and stochastically ultimate boundedness are obtained, respectively. Finally, an example is given to illustrate the main results.http://dx.doi.org/10.1155/2013/918569 |
| spellingShingle | Zheng Wu Hao Huang Lianglong Wang Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction Abstract and Applied Analysis |
| title | Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction |
| title_full | Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction |
| title_fullStr | Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction |
| title_full_unstemmed | Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction |
| title_short | Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction |
| title_sort | stochastic delay population dynamics under regime switching global solutions and extinction |
| url | http://dx.doi.org/10.1155/2013/918569 |
| work_keys_str_mv | AT zhengwu stochasticdelaypopulationdynamicsunderregimeswitchingglobalsolutionsandextinction AT haohuang stochasticdelaypopulationdynamicsunderregimeswitchingglobalsolutionsandextinction AT lianglongwang stochasticdelaypopulationdynamicsunderregimeswitchingglobalsolutionsandextinction |