Article ID Journal Published Year Pages File Type
767519 Communications in Nonlinear Science and Numerical Simulation 2009 10 Pages PDF
Abstract

In this paper, a class of nonautonomous Lotka–Volterra type multispecies competitive systems with weak Allee effect and delays are considered. By using Mawhin’s continuation theorem of coincidence degree theory, we obtain some sufficient conditions for the existence of almost periodic solutions for the Lotka–Volterra system. On the case of no delays of Allee effects, by constructing a suitable Lyapunov function, we get a sufficient condition for the globally attractivity of the almost periodic solution for the Lotka–Volterra system. Moreover, we also present an illustrative example to show the effectiveness of our results.

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Physical Sciences and Engineering Engineering Mechanical Engineering
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