Age-dependent population dynamics diffusive systems

被引：7

作者：

Ainseba, B ^{[1
]}

机构：

[1] Univ Bordeaux 2, CNRS, UMR 5466, F-33076 Bordeaux, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2004年 / 4卷 / 04期

关键词：

age structure; reaction-diffusion; population dynamics; global existence;

D O I：

10.3934/dcdsb.2004.4.1233

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear and nonlocal reaction-diffusion system of population growth is investigated which allows for consideration of both age-size and spatial effects. The mortality and fertility processes of the population are assumed to be linear to simplify the exposition. Local existence, continuation property, positivity, and global existence are obtained. This theory is applied to some specific reaction-diffusion epidemic model including the SI system, the SIS system with vertical transmission, and the SIR system.

引用

页码：1233 / 1247

页数：15

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