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Permanence And Almost Periodic Solutions For An N-Species Lotka-Volterra Food Chain System On Time Scales

Qingshui Liao,Bing Li,Yongkun Li

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS（2015）

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Abstract
By applying differential inequalities on time scales and the Lyapunov function method, we obtain some sufficient conditions which guarantee the permanence and the existence of an unique uniformly asymptotically stable almost periodic solution of an n-species Lotka-Volterra unidirectional food chain system on time scales.
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Key words
Lotka-Volterra food chain, permanence, almost periodic solution, Lyapunov functional, time scales
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