Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control
The dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically. Using the analogue of the Poincaré criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained. Fu...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/534276 |
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| _version_ | 1849414538542186496 |
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| author | Chuanjun Dai Min Zhao Lansun Chen |
| author_facet | Chuanjun Dai Min Zhao Lansun Chen |
| author_sort | Chuanjun Dai |
| collection | DOAJ |
| description | The dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically. Using the analogue of the Poincaré criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained. Furthermore, the bifurcation diagrams and phase diagrams are investigated by means of numerical simulations, which illustrate the feasibility of the main results presented here. |
| format | Article |
| id | doaj-art-73585288482d4aa5b4d26eba6adddb45 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-73585288482d4aa5b4d26eba6adddb452025-08-20T03:33:49ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/534276534276Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback ControlChuanjun Dai0Min Zhao1Lansun Chen2School of Mathematics and Information Science, Wenzhou University, Zhejiang, Wenzhou 325035, ChinaSchool of Life and Environmental Science, Wenzhou University, Zhejiang, Wenzhou 325035, ChinaInstitute of Mathematics, Academia Sinica, Beijing 100080, ChinaThe dynamic complexities of an Ivlev-type prey-predator system with impulsive state feedback control are studied analytically and numerically. Using the analogue of the Poincaré criterion, sufficient conditions for the existence and the stability of semitrivial periodic solutions can be obtained. Furthermore, the bifurcation diagrams and phase diagrams are investigated by means of numerical simulations, which illustrate the feasibility of the main results presented here.http://dx.doi.org/10.1155/2012/534276 |
| spellingShingle | Chuanjun Dai Min Zhao Lansun Chen Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control Journal of Applied Mathematics |
| title | Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control |
| title_full | Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control |
| title_fullStr | Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control |
| title_full_unstemmed | Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control |
| title_short | Dynamic Complexity of an Ivlev-Type Prey-Predator System with Impulsive State Feedback Control |
| title_sort | dynamic complexity of an ivlev type prey predator system with impulsive state feedback control |
| url | http://dx.doi.org/10.1155/2012/534276 |
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