Bifurcation diagrams of population models with nonlinear, diffusion

Young He Lee; Lena Sherbakov; Jackie Taber; Junping Shi

doi:10.1016/j.cam.2005.08.004

Bifurcation diagrams of population models with nonlinear, diffusion

Young He Lee
, Lena Sherbakov
, Jackie Taber
, Junping Shi

College of William and Mary
Harbin Normal University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	357-367
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	194
Issue number	2
DOIs	https://doi.org/10.1016/j.cam.2005.08.004
State	Published - 1 Oct 2006
Externally published	Yes

Keywords

Global bifurcation
Nonlinear diffusion
Semilinear elliptic equation

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10.1016/j.cam.2005.08.004

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title = "Bifurcation diagrams of population models with nonlinear, diffusion",

abstract = "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.",

keywords = "Global bifurcation, Nonlinear diffusion, Semilinear elliptic equation",

author = "Lee, \{Young He\} and Lena Sherbakov and Jackie Taber and Junping Shi",

year = "2006",

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doi = "10.1016/j.cam.2005.08.004",

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TY - JOUR

T1 - Bifurcation diagrams of population models with nonlinear, diffusion

AU - Lee, Young He

AU - Sherbakov, Lena

AU - Taber, Jackie

AU - Shi, Junping

PY - 2006/10/1

Y1 - 2006/10/1

N2 - 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.

AB - 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.

KW - Global bifurcation

KW - Nonlinear diffusion

KW - Semilinear elliptic equation

UR - https://www.scopus.com/pages/publications/33646522993

U2 - 10.1016/j.cam.2005.08.004

DO - 10.1016/j.cam.2005.08.004

M3 - Article

AN - SCOPUS:33646522993

SN - 0377-0427

VL - 194

SP - 357

EP - 367

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 2

ER -

Bifurcation diagrams of population models with nonlinear, diffusion

Abstract

Keywords

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