title: On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process.
abstract: In this paper we study the two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. The model distinguishes individuals by two different status: the 'reproductive' stage and the 'nonreproductive' stage. We establish the well-posedness for this model and show that the solution of this model exhibits asynchronous exponential growth by means of semigroups. We also consider a special case in which the individuals in the 'reproductive' stage and the 'nonreproductive' stage have the same growth rates and give a comparison between this two-phase model with the classical one-phase model.
authors: a School of Mathematics and Statistics , Zhaoqing University , Zhaoqing , Guangdong 526061 , People's Republic of China.
authors: Meng
authors: M
authors: Bai
authors: Shihe
authors: S
authors: Xu
mesh_terms: D006801:Humans; D008954:Models, Biological; D036801:Parturition; D011156:Population Density; D011157:Population Dynamics
keywords: 35L02; 35P99; asynchronous exponential growth; distributed delay; semigroups; size-structured populations; well-posedness