A note on a nonlocal nonlinear reaction-diffusion model

被引：4

作者：

Walker, Christoph ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期

关键词：

Bifurcation; Steady states; Cross-diffusion; Age structure; Maximal regularity; PREY-PREDATOR SYSTEM; POSITIVE SOLUTIONS; GLOBAL BIFURCATION; CROSS-DIFFUSION; EQUATIONS;

D O I：

10.1016/j.aml.2012.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an application of the Crandall-Rabinowitz theorem on local bifurcation to a system of nonlinear parabolic equations with nonlocal reaction and cross-diffusion terms as well as nonlocal initial conditions. The system arises as steady-state equations of two interacting age-structured populations. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1772 / 1777

页数：6

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