The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey
A nonautonomous predator-prey model with infertility control in the prey is formulated and investigated. Threshold conditions for the permanence and extinction of fertility prey and infertility prey are established. Some new threshold values of integral form are obtained. For the periodic cases, the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/304568 |
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| _version_ | 1849434643485425664 |
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| author | Xiaomei Feng Zhidong Teng Fengqin Zhang |
| author_facet | Xiaomei Feng Zhidong Teng Fengqin Zhang |
| author_sort | Xiaomei Feng |
| collection | DOAJ |
| description | A nonautonomous predator-prey model with infertility control in the prey is formulated and investigated. Threshold conditions for the permanence and extinction of fertility prey and infertility prey are established. Some new threshold values of integral form are obtained. For the periodic cases, these threshold conditions act as sharp threshold values for the permanence and extinction of fertility prey and infertility prey. There are also mounting concerns that the quantity of biological sterile drug is obtained in the process of the prevention and control of pest in the grasslands and farmland. Finally, two examples are given to illustrate the main results of this paper. The numerical simulations shown that, when the pest population is permanet, different dynamic behaviors may be found in this model, such as the global attractivity and the chaotic attractor. |
| format | Article |
| id | doaj-art-e9b9b83c5a8e4df1b0fc035670ccd203 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e9b9b83c5a8e4df1b0fc035670ccd2032025-08-20T03:26:34ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/304568304568The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the PreyXiaomei Feng0Zhidong Teng1Fengqin Zhang2College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaDepartment of Mathematics, Yuncheng University, Yuncheng 044000, ChinaA nonautonomous predator-prey model with infertility control in the prey is formulated and investigated. Threshold conditions for the permanence and extinction of fertility prey and infertility prey are established. Some new threshold values of integral form are obtained. For the periodic cases, these threshold conditions act as sharp threshold values for the permanence and extinction of fertility prey and infertility prey. There are also mounting concerns that the quantity of biological sterile drug is obtained in the process of the prevention and control of pest in the grasslands and farmland. Finally, two examples are given to illustrate the main results of this paper. The numerical simulations shown that, when the pest population is permanet, different dynamic behaviors may be found in this model, such as the global attractivity and the chaotic attractor.http://dx.doi.org/10.1155/2014/304568 |
| spellingShingle | Xiaomei Feng Zhidong Teng Fengqin Zhang The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey Abstract and Applied Analysis |
| title | The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey |
| title_full | The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey |
| title_fullStr | The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey |
| title_full_unstemmed | The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey |
| title_short | The Dynamics of a Nonautonomous Predator-Prey Model with Infertility Control in the Prey |
| title_sort | dynamics of a nonautonomous predator prey model with infertility control in the prey |
| url | http://dx.doi.org/10.1155/2014/304568 |
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