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Global Attracting Behavior of Non-autonomous Stage-structured Population Dynamical System with Diffusion
Authors:Email author" target="_blank">Zhong-hua?LuEmail author  Xue-bin?Chi  Lan-sun?Chen
Institution:(1) Computer Network Information Center, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of mathematics, Xi’an University of Finance and Economics, Xi’an, 710061, China;(3) Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, China
Abstract:A non-autonomous single species dispersal model is considered, in which individual member of the population has a life history that goes through two stages, immature and mature. By applying the theory of monotone and concave operators to functional differential equations, we establish conditions under which the system admits a positive periodic solution which attracts all other positive solutions.
Keywords:Nonautonomous  stage structure  dispersal  periodic solution  global attractivity
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