Permanence for General Nonautonomous Impulsive Population Systems of Functional Differential Equations and Its Applications |
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Authors: | Long Zhang Zhidong Teng Haijun Jiang |
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Affiliation: | (1) College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, People’s Republic of China |
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Abstract: | 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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