Existence of Positive Periodic Solutions for Periodic Neutral Lotka-Volterra System with Distributed Delays and Impulses

oleh: Zhenguo Luo, Liping Luo

Format: Article
Diterbitkan: Hindawi Limited 2013-01-01

Deskripsi

By using a fixed-point theorem of strict-set-contraction, we investigate the existence of positive periodic solutions for a class of the following impulsive neutral Lotka-Volterra system with distributed delays: xi′(t)=xi(t)[ri(t)-∑j=1naij(t)xj(t)-∑j=1n‍bij(t)∫-τij0‍fij(ξ)xj(t+ξ)dξ-∑j=1n‍cij(t)∫-σij0‍gij(ξ)xj′(t+ξ)dξ],  Δxi(tk)=-Iik(xi(tk)),  i=1,2,…,n,  k=1,2,…. Some verifiable criteria are established easily.