Positive periodic solutions of discrete Lotka–Volterra competition systems with state dependent and distributed delays

摘要

By using a fixed point theorem of strict-set-contraction, the existence of positive periodic solutions is established for the following discrete Lotka–Volterra competition systems with state dependent and distributed delays.Δxi(n)=xi(n)ai(n)-∑j=1paij(n)xj(fij(n,x1(n),x2(n),…,xp(n)))-∑j=1pbij(n)∑θ=-Tij0Hij(θ)xj(n+θ),i=1,2,…,p.