Convergent and divergent solutions of a discrete nonautonomous Lotka-Volterra model

Liao, Xinyuan; Cheng, Sui Sun

doi:10.5556/j.tkjm.36.2005.106

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Cited by 7 publications

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“…Discrete time models can also provide efficient computational models of continuous models for numerical simulations. Therefore, lots have been done on discrete Lotka-Volterra systems, we refer to [10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

ALMOST PERIODIC SOLUTION FOR A n-SPECIES COMPETITION MODEL WITH FEEDBACK CONTROLS ON TIME SCALES

Han¹

2013

Journal of applied mathematics & informatics

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In this paper, using the time scale calculus theory, we first discuss the permanence of a n-species competition system with feedback control on time scales. Based on the permanence result, by the Lyapunov functional method, we establish sufficient conditions for the existence and uniformly asymptotical stability of almost periodic solutions of the considered model. The results of this paper is completely new. An example is employed to show the feasibility of our main result.

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