Bifurcation diagrams of population models with nonlinear, diffusion

被引：11

作者：

Lee, Young He

Sherbakova, Lena

Taber, Jackie

Shi, Junping ^{[1
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Harbin Normal Univ, Sch Math, Heilongjiang 150080, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 194卷 / 02期

基金：

美国国家科学基金会;

关键词：

global bifurcation; semilinear elliptic equation; nonlinear diffusion;

D O I：

10.1016/j.cam.2005.08.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop analytical and numerical tools for the equilibrium solutions of a class of reaction-diffusion models with nonlinear diffusion rates. Such equations arise from population biology and material sciences. We obtain global bifurcation diagrams for various nonlinear diffusion functions and several growth rate functions. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：357 / 367

页数：11

共 22 条

[1]

[Anonymous], 2001, INTERDISCIPLINARY AP

[2]

[Anonymous], TOPOL METHODS NONLIN

[3] Conditional persistence in logistic models via nonlinear diffusion [J].