Almost Periodic Solution for an Epidemic Prey-Predator System with Impulsive Effects and Multiple Delays

Baodan Tian, Ning Chen and Yanhong Qiu

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-15

Abstract:

A nonautonomous epidemic prey-predator system with impulsive effects and multiple delays is considered; further, there is an epidemic disease in the predator. By the mean-value theorem of multiple variables, integral inequalities, differential inequalities, and other mathematical analysis skills, sufficient conditions which guarantee the permanence of the system are obtained. Furthermore, by constructing a series of Lyapunov functionals it is proved that there exists a unique uniformly asymptotically stable almost periodic solution of the system.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:486463

DOI: 10.1155/2015/486463

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