Positive Periodic Solutions of N-Species Neutral Delay Systems

AbstractIn this paper, we employ some new techniques to study the existence of positive periodic solution of n-species neutral delay system Ni′ = Ni(t)[αi(t) — $$\sum\limits_{j = 1}^n {\beta _{ij} } $$ βij(t)Nj(t) — $$\sum\limits_{j = 1}^n {b_{ij} } $$ bij(t)Nj(t—τij(t))— $$\sum\limits_{j = 1}^n {c_{ij} } $$ cij(t)Nj′(t—τij(t))].As a corollary, we answer an open problem proposed by Y. Kuang.