DIFFUSION EPIDEMIC MODELS WITH INCUBATION AND CRISSCROSS DYNAMICS

被引：35

作者：

FITZGIBBON, WE

PARROTT, ME

WEBB, GF

机构：

[1] UNIV S FLORIDA,DEPT MATH,TAMPA,FL

[2] VANDERBILT UNIV,DEPT MATH,NASHVILLE,TN

来源：

MATHEMATICAL BIOSCIENCES | 1995年 / 128卷 / 1-2期

关键词：

D O I：

10.1016/0025-5564(94)00070-G

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A diffusion age-structured epidemic model is analyzed. The model describes an epidemic in a host-vector two-population system. Each population is diffusing in a spatial region. Each population is divided into susceptible, incubating, and infectious subclasses. The incubating and infectious subclasses in each population are determined by a structure variable corresponding to age since infection. The model consists of a system of nonlinear partial differential equations with crisscross dynamics. The existence, uniqueness, and asymptotic behavior of solutions are analyzed.

引用

页码：131 / 155

页数：25

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