Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model
In this article, a nonautonomous stochastic modified Bazykin model is introduced. The positive solution is proved to be unique and global for any initial data via stochastic comparison theorem and Itô formula. Stochastic ultimate boundedness and stochastic permanence are also considered. Finally, so...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2019/9089781 |
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| _version_ | 1832545760028131328 |
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| author | Zhangzhi Wei Zheng Wu Lianglong Wang |
| author_facet | Zhangzhi Wei Zheng Wu Lianglong Wang |
| author_sort | Zhangzhi Wei |
| collection | DOAJ |
| description | In this article, a nonautonomous stochastic modified Bazykin model is introduced. The positive solution is proved to be unique and global for any initial data via stochastic comparison theorem and Itô formula. Stochastic ultimate boundedness and stochastic permanence are also considered. Finally, some simulations are performed to verify the validity of results. |
| format | Article |
| id | doaj-art-07bcf43917ff4d4db17991865b1783b0 |
| institution | Kabale University |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-07bcf43917ff4d4db17991865b1783b02025-02-03T07:24:41ZengWileyJournal of Chemistry2090-90632090-90712019-01-01201910.1155/2019/90897819089781Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin ModelZhangzhi Wei0Zheng Wu1Lianglong Wang2School of Mathematics and Statistics, Suzhou University, Suzhou 234000, ChinaSchool of Mathematics and Statistics, Suzhou University, Suzhou 234000, ChinaSchool of Mathematics and Statistics, Suzhou University, Suzhou 234000, ChinaIn this article, a nonautonomous stochastic modified Bazykin model is introduced. The positive solution is proved to be unique and global for any initial data via stochastic comparison theorem and Itô formula. Stochastic ultimate boundedness and stochastic permanence are also considered. Finally, some simulations are performed to verify the validity of results.http://dx.doi.org/10.1155/2019/9089781 |
| spellingShingle | Zhangzhi Wei Zheng Wu Lianglong Wang Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model Journal of Chemistry |
| title | Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model |
| title_full | Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model |
| title_fullStr | Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model |
| title_full_unstemmed | Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model |
| title_short | Dynamical Behavior of a Nonautonomous Stochastic Modified Bazykin Model |
| title_sort | dynamical behavior of a nonautonomous stochastic modified bazykin model |
| url | http://dx.doi.org/10.1155/2019/9089781 |
| work_keys_str_mv | AT zhangzhiwei dynamicalbehaviorofanonautonomousstochasticmodifiedbazykinmodel AT zhengwu dynamicalbehaviorofanonautonomousstochasticmodifiedbazykinmodel AT lianglongwang dynamicalbehaviorofanonautonomousstochasticmodifiedbazykinmodel |