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Global attractivity and positive almost periodic solution for delay logistic differential equation
Authors:Xitao Yang  Rong Yuan
Affiliation:1. Department of Mathematics, Hunan University of Science and Technology, Xiangtan 411201, Hunan, People’s Republic of China;2. Department of Mathematics, Beijing Normal University, Beijing 100875, People’s Republic of China
Abstract:In this paper, we establish some sufficient conditions for the global attractivity of positive solutions and the unique existence of positive almost periodic solutions for delay logistic differential equations of the form
x(t)=r(t)x(t)(a(t)−b(t)x(t)−L(xt)).x(t)=r(t)x(t)(a(t)b(t)x(t)L(xt)).
Our results extend and improve corresponding ones in the literature.
Keywords:Global attractivity   Almost periodicity   Logistic differential equation
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