Permanence in Multi-Species Competitive Systems with Delays And Feedback Controls

In this paper, we investigate general impulsive nonautonomous population dynamical systems of functional differential equations. By utilizing the method of multiple Liapunov-like functionals to construct the permanence region, a general criterion on the permanence for the system is established. Furthermore, as applications of this general criterion, a class of impulsive nonautonomous n-species Lotka-Volterra competitive systems with delays and a class of impulsive nonautonomous 3-species Lotka-Volterra food chain systems with delays are discussed. Some new and useful sufficient conditions on the permanence for these systems are established.

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Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications

Zhang

Teng

Jiang

2009

Acta Appl Math

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Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

Nie¹,

Hu²,

Teng³

2011

Rocky Mountain J. Math.

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Permanence in Multi-Species Competitive Systems with Delays And Feedback Controls

Cited by 2 publications

References 26 publications

Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications

Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications

Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

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