Almost Periodic Solution of a Competition System with Dominated Infinite Delays


Xue-Zhong He


Research Report 96-24
Date: June 1996


In this paper, we consider an n-species almost periodic Lotka-Volterra competition system with dominated infinite delays. By constructing suitable Lyapunov functionals, we are able to show that, under a set of algebraic conditions, the system has a unique positive almost periodic solution which is globally attractive.

Key phrases

Lotka-Volterra competition system. almost periodic solution. infinite delays. Lyapunov functionals. global attractivity.

AMS Subject Classification (1991)

Primary: 34K15, 34K20, 92A15


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