Permanence in a periodic single species system subject to linear/constant impulsive perturbations |
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| Authors: | Zhijun Liu Guangyao Tang Wenjie Qin Yi Yang |
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| Affiliation: | 1. Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, People's Republic of China;2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, People's Republic of China |
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| Abstract: | In this paper, a single species system with linear/constant impulsive perturbations is established. The linear and constant impulses are realized at fixed moments of time. By using the comparison principle of impulsive differential equations and analysis techniques, sufficient conditions for the permanence of the system with linear and constant impulsive perturbations are obtained, respectively. Numerical simulations are presented to substantiate our analytical results, and show that the impulsive perturbations play a crucial role. Copyright © 2010 John Wiley & Sons, Ltd. |
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| Keywords: | permanence single species system linear pulse constant pulse |
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