Qualitative analysis of a discrete logistic equation with several delays

摘要

In this paper, we study the qualitative behavior of solutions of the discrete delay Logistic equation with several delayswhere ri∈(0,∞) for i=1,…,m, ki (i=1,2,…,m) are positive integers and K∈(0,∞). We obtain sufficient conditions for the global attractivity of all positive solutions about the positive equilibrium. Furthermore, we show that such model is uniformly persistent and that all its eventually positive solutions are bounded. The oscillation about the positive equilibrium is also discussed.