Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay
We study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/139046 |
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| _version_ | 1832552296673705984 |
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| author | Xiaohong Zhang Jianwen Jia Xinyu Song |
| author_facet | Xiaohong Zhang Jianwen Jia Xinyu Song |
| author_sort | Xiaohong Zhang |
| collection | DOAJ |
| description | We study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional method, we also obtain some sufficient conditions for global asymptotic stability of this model. A numerical analysis is given to explain the analytical findings. |
| format | Article |
| id | doaj-art-603258243cc24d8faa6e779223bf0446 |
| 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-603258243cc24d8faa6e779223bf04462025-02-03T05:59:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/139046139046Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time DelayXiaohong Zhang0Jianwen Jia1Xinyu Song2School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaDepartment of Mathematics, Xinyang Normal University, Xinyang, Henan 464000, ChinaWe study the permanence, extinction, and global asymptotic stability for a nonautonomous malaria transmission model with distributed time delay. We establish some sufficient conditions on the permanence and extinction of the disease by using inequality analytical techniques. By a Lyapunov functional method, we also obtain some sufficient conditions for global asymptotic stability of this model. A numerical analysis is given to explain the analytical findings.http://dx.doi.org/10.1155/2014/139046 |
| spellingShingle | Xiaohong Zhang Jianwen Jia Xinyu Song Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay Journal of Applied Mathematics |
| title | Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay |
| title_full | Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay |
| title_fullStr | Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay |
| title_full_unstemmed | Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay |
| title_short | Permanence and Extinction for a Nonautonomous Malaria Transmission Model with Distributed Time Delay |
| title_sort | permanence and extinction for a nonautonomous malaria transmission model with distributed time delay |
| url | http://dx.doi.org/10.1155/2014/139046 |
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