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PERIODIC SOLUTIONS OF $n$-SPECIES DELAY LOTKA-VOLTERRA COMPETITION SYSTEMS WITH IMPULSIVE EFFECT

Hong Zhang, Mingjian Yan, Lansun Chen

Abstract


In this paper, we study a $n$-species Lotka-Volterra competition model with weak delay kernel and time dependent delay. By using the method of coincidence degree, a set of sufficient conditions are obtained for the existence of at least one strictly positive periodic solutions. Some known results are improved.

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