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Positive Periodic Solutions of N-Species Neutral Delay Systems

Authors:	Hui Fang

Affiliation:	(1) Department of Systems Science and Applied Mathematics, Kunming University of Science and Technology, Kunming, Yunnan, 650051, P. R. China;(2) Department of Applied Mathematics, Hunan University, Changsha, 410082, P. R. China

Abstract:	In this paper, we employ some new techniques to study the existence of positive periodic solution of n-species neutral delay system N_i = N_i(t)[_i(t) — $sumlimits_{j = 1}^n {beta _{ij} }$ _ij(t)N_j(t) — $sumlimits_{j = 1}^n {b_{ij} }$ b_ij(t)N_j(t—_ij(t))— $sumlimits_{j = 1}^n {c_{ij} }$ c_ij(t)N_j(t—_ij(t))].As a corollary, we answer an open problem proposed by Y. Kuang.

Keywords:	positive periodic solutions existence neutral delay system
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