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Permanence in a periodic single species system subject to linear/constant impulsive perturbations

✍ Scribed by Zhijun Liu; Guangyao Tang; Wenjie Qin; Yi Yang

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 131 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1271

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✦ Synopsis

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.

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