Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation
This is a continuation of the work of Tan et al. (2012). In this paper a periodic single species model controlled by constant impulsive perturbation is investigated. The constant impulse is realized at fixed moments of time. With the help of the comparison theorem of impulsive differential equations...
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| Main Authors: | , , , |
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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/10.1155/2014/186232 |
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| _version_ | 1850213506078474240 |
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| author | Ronghua Tan Zuxiong Li Shengliang Guo Zhijun Liu |
| author_facet | Ronghua Tan Zuxiong Li Shengliang Guo Zhijun Liu |
| author_sort | Ronghua Tan |
| collection | DOAJ |
| description | This is a continuation of the work of Tan et al. (2012). In this paper a periodic single species model controlled by constant impulsive perturbation is investigated. The constant impulse is realized at fixed moments of time. With the help of the comparison theorem of impulsive differential equations and Lyapunov functions, sufficient conditions for the permanence and global attractivity are established, respectively. Also, by comparing the above results with corresponding known results of Tan et al. (2012) (i.e., the above model with linear impulsive perturbations), we find that the two different types of impulsive perturbations have influence on the above dynamics. Numerical simulations are presented to substantiate our analytical results. |
| format | Article |
| id | doaj-art-83f1115ee5bb4577a7b71c4ec65eef98 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-83f1115ee5bb4577a7b71c4ec65eef982025-08-20T02:09:07ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/186232186232Analysis of a Periodic Single Species Population Model Involving Constant Impulsive PerturbationRonghua Tan0Zuxiong Li1Shengliang Guo2Zhijun Liu3Key Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaThis is a continuation of the work of Tan et al. (2012). In this paper a periodic single species model controlled by constant impulsive perturbation is investigated. The constant impulse is realized at fixed moments of time. With the help of the comparison theorem of impulsive differential equations and Lyapunov functions, sufficient conditions for the permanence and global attractivity are established, respectively. Also, by comparing the above results with corresponding known results of Tan et al. (2012) (i.e., the above model with linear impulsive perturbations), we find that the two different types of impulsive perturbations have influence on the above dynamics. Numerical simulations are presented to substantiate our analytical results.http://dx.doi.org/10.1155/2014/186232 |
| spellingShingle | Ronghua Tan Zuxiong Li Shengliang Guo Zhijun Liu Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation Journal of Applied Mathematics |
| title | Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation |
| title_full | Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation |
| title_fullStr | Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation |
| title_full_unstemmed | Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation |
| title_short | Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation |
| title_sort | analysis of a periodic single species population model involving constant impulsive perturbation |
| url | http://dx.doi.org/10.1155/2014/186232 |
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