Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control
The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic soluti...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/724014 |
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| _version_ | 1832551653442584576 |
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| author | Chuanjun Dai Min Zhao |
| author_facet | Chuanjun Dai Min Zhao |
| author_sort | Chuanjun Dai |
| collection | DOAJ |
| description | The dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results. |
| format | Article |
| id | doaj-art-240c8cb34105405c9b215e184404db1e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-240c8cb34105405c9b215e184404db1e2025-02-03T06:00:52ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/724014724014Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback ControlChuanjun Dai0Min Zhao1School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035, ChinaSchool of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035, ChinaThe dynamic complexities of a prey-predator system in the presence of alternative prey with impulsive state feedback control are studied analytically and numerically. By using the analogue of the Poincaré criterion, sufficient conditions for the existence and stability of semitrivial periodic solutions can be obtained. Furthermore, the corresponding bifurcation diagrams and phase diagrams are investigated by means of numerical simulations which illustrate the feasibility of the main results.http://dx.doi.org/10.1155/2012/724014 |
| spellingShingle | Chuanjun Dai Min Zhao Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control Discrete Dynamics in Nature and Society |
| title | Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control |
| title_full | Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control |
| title_fullStr | Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control |
| title_full_unstemmed | Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control |
| title_short | Mathematical and Dynamic Analysis of a Prey-Predator Model in the Presence of Alternative Prey with Impulsive State Feedback Control |
| title_sort | mathematical and dynamic analysis of a prey predator model in the presence of alternative prey with impulsive state feedback control |
| url | http://dx.doi.org/10.1155/2012/724014 |
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