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Nontrivial periodicity in discrete delay models of population growth
Authors:Dang Vu Giang  Dinh Cong Huong
Affiliation:a Hanoi Institute of Mathematics, 18 Hoang Quoc Viet, 10307 Hanoi, Viet Nam
b Quy Nhon University, 170 An Duong Vuong, Quy Nhon, Binh Dinh, Viet Nam
Abstract:In this paper, we will study the periodicity in discrete model An+1=λAn+F(Anm) of population growth, where the delay m is large enough and the nonlinearity F is unimodal function. Actually, we prove that there is a slowly oscillated periodic solution. Our method is Browder nonextremal fixed point theorem.
Keywords:Equilibrium   Full limiting sequences   Full time solutions   Browder nonextremal fixed point theorem
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