基于生态环境和反馈控制的多种群竞争系统的正周期解

Abstract

Abstract: In this paper, by using species dynamic theory, a delay nonautonomous LotkaVolterra multiple species competition system with ecological environment and feedback controls is established, and the high order nonlinear function is used in the construction of the feedback control variables. By using Continuation Theorem based on Gaines and Mawhin's coincidence degree theory, the sufficient conditions for existence of positive periodic solution of the system are obtained. Using Barbalat Lemma and constructing an appropriate Lyapunov function, the algebraic criterion for the uniqueness and global attractivity of positive periodic solutions of the system are obtained.

Key words: Feedback controls system, Coincidence degree theory, Global attractivity, Positive periodic solution

CLC Number:

O175.12

Fu Jinbo, Chen Lansun. Positive Periodic Solution of Multiple Species Comptition System with Ecological Environment and Feedback Controls[J].Acta mathematica scientia,Series A, 2017, 37(3): 553-561.

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References

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Positive Periodic Solution of Multiple Species Comptition System with Ecological Environment and Feedback Controls

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