Stochastic Logistic Systems with Jumps
This paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable. Sufficient criteria for the existence of global positive solutions are obtained; then asymptotic...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/927013 |
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| _version_ | 1832554381372817408 |
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| author | Ruihua Wu Ke Wang |
| author_facet | Ruihua Wu Ke Wang |
| author_sort | Ruihua Wu |
| collection | DOAJ |
| description | This paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable. Sufficient criteria for the existence of global positive solutions are obtained; then asymptotic boundedness in pth moment, stochastically ultimate boundedness, and asymptotic pathwise behavior are to be considered. |
| format | Article |
| id | doaj-art-b6aa7dbf9516419e881d5d776a1a3b45 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b6aa7dbf9516419e881d5d776a1a3b452025-02-03T05:51:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/927013927013Stochastic Logistic Systems with JumpsRuihua Wu0Ke Wang1Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaDepartment of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, ChinaThis paper is concerned with a stochastic nonautonomous logistic model with jumps. In the model, the martingale and jump noise are taken into account. This model is new and more feasible and applicable. Sufficient criteria for the existence of global positive solutions are obtained; then asymptotic boundedness in pth moment, stochastically ultimate boundedness, and asymptotic pathwise behavior are to be considered.http://dx.doi.org/10.1155/2014/927013 |
| spellingShingle | Ruihua Wu Ke Wang Stochastic Logistic Systems with Jumps Journal of Applied Mathematics |
| title | Stochastic Logistic Systems with Jumps |
| title_full | Stochastic Logistic Systems with Jumps |
| title_fullStr | Stochastic Logistic Systems with Jumps |
| title_full_unstemmed | Stochastic Logistic Systems with Jumps |
| title_short | Stochastic Logistic Systems with Jumps |
| title_sort | stochastic logistic systems with jumps |
| url | http://dx.doi.org/10.1155/2014/927013 |
| work_keys_str_mv | AT ruihuawu stochasticlogisticsystemswithjumps AT kewang stochasticlogisticsystemswithjumps |