Nontrivial periodicity in discrete delay models of population growth |
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Authors: | Dang Vu Giang Dinh Cong Huong |
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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 |
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Abstract: | In this paper, we will study the periodicity in discrete model An+1=λAn+F(An−m) 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. |
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Keywords: | Equilibrium Full limiting sequences Full time solutions Browder nonextremal fixed point theorem |
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