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On a size-structured population model with infinite states-at-birth and distributed delay in birth process
Authors:Meng Bai  Shihe Xu
Affiliation:1. School of Mathematics and Information Sciences , Zhaoqing University , Zhaoqing , Guangdong 526061 , People's Republic of China baimeng.clare@yahoo.com.cn;3. School of Mathematics and Information Sciences , Zhaoqing University , Zhaoqing , Guangdong 526061 , People's Republic of China
Abstract:In this article, we study a size-structured population model with infinite states-at-birth and distributed delay in birth process. We establish the well-posedness for this model and show that the solution of this model exhibits an asynchronous exponential growth by means of semigroups.
Keywords:size-structured populations  distributed delay  well-posedness  asynchronous exponential growth  semigroups
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