一类具有固定潜伏期的时滞反应扩散方程解的存在性分析

Existence Analysis for a Class of Reaction Diffusion Equations with Fixed Latency

研究了具有固定潜伏期的时滞反应扩散方程解的存在性.通过对感染年龄及感染者不同时空密度的引入,根据扩散的结构化种群标准方法,得到了传染病动力学方程组.通过解耦,确定出周期非局部时滞反应扩散系统,利用紧致性方法(Galerkin方法)及相关不等式证明了周期解的存在唯一性.

The existence analysis for a reaction diffusion equation with fixed is studied.By introducing the age of infection and the different space time density of the infected person,according to the structured population standard method of diffusion,the dynamic equations of infectious diseases are obtained.Then by decoupling,the periodic nonlocal reaction diffusion system with time delay is determined.The existence and uniqueness of positive periodic solutions are proved by using the Galerkin method and related inequalities.