Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients

Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (2): 267-273.

Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients

Department of Mathematics, Zhoukou Normal University

Received:2008-06-09 Online:2009-06-30 Published:2023-08-11
About author:LIU Yan-wei(1978-), male, native of Zhoukou, Henan, M.S.D., a lecturer of Zhoukou Normal University, engages in differential equations and its application.
Supported by:
Supported by the Education Department Natural Science Foundation of Henan Province(2008A180041)；

Abstract

Abstract: Two-prey one-predator system with a special Holling-II functional response is discussed. That ω-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.

Key words: impulsive, delay, comparison principle, variable coefficients

CLC Number:

O175.25

LIU Yan-wei, LU Kai-zhang. Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 267-273.

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Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients

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