Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control
Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-...
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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/10.1155/2012/715497 |
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| _version_ | 1832561862622838784 |
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| author | Yuangan Wang |
| author_facet | Yuangan Wang |
| author_sort | Yuangan Wang |
| collection | DOAJ |
| description | Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno (T-S) fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the controlling conditions of the asymptotical stability and exponential stability are established. Furthermore, the numerical simulation for the Lotka-Volterra predator-prey system with impulsive effects verifies the effectiveness of the proposed methods. |
| format | Article |
| id | doaj-art-a2fefeac18c942358ef72d6690fa6b5c |
| 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-a2fefeac18c942358ef72d6690fa6b5c2025-02-03T01:24:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/715497715497Stability Analysis of Predator-Prey System with Fuzzy Impulsive ControlYuangan Wang0School of Mathematics and Computer Science, Qinzhou University, Qinzhou, Guangxi 535000, ChinaHaving attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno (T-S) fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the controlling conditions of the asymptotical stability and exponential stability are established. Furthermore, the numerical simulation for the Lotka-Volterra predator-prey system with impulsive effects verifies the effectiveness of the proposed methods.http://dx.doi.org/10.1155/2012/715497 |
| spellingShingle | Yuangan Wang Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control Journal of Applied Mathematics |
| title | Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control |
| title_full | Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control |
| title_fullStr | Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control |
| title_full_unstemmed | Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control |
| title_short | Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control |
| title_sort | stability analysis of predator prey system with fuzzy impulsive control |
| url | http://dx.doi.org/10.1155/2012/715497 |
| work_keys_str_mv | AT yuanganwang stabilityanalysisofpredatorpreysystemwithfuzzyimpulsivecontrol |