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Almost periodic solution for an epidemic prey-predator system with impulsive effects and multiple delays - MaRDI portal

Almost periodic solution for an epidemic prey-predator system with impulsive effects and multiple delays (Q1723359)

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scientific article; zbMATH DE number 7025378
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English
Almost periodic solution for an epidemic prey-predator system with impulsive effects and multiple delays
scientific article; zbMATH DE number 7025378

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    Almost periodic solution for an epidemic prey-predator system with impulsive effects and multiple delays (English)
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    19 February 2019
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    Summary: 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.
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