Travelling wave solutions in a negative nonlinear diffusion-reaction model

被引：16
|
作者：
Li, Yifei [1 ]
van Heijster, Peter [1 ,2 ]
Marangell, Robert [3 ]
Simpson, Matthew J. [1 ]
机构：
[1] Queensland Univ Technol, Sch Math Sci, Brisbane, Qld, Australia
[2] Wageningen Univ & Res, Biometris, Wageningen, Netherlands
[3] Univ Sydney, Sch Math & Stat, Sydney, NSW, Australia
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2020年 / 81卷 / 6-7期
基金：
澳大利亚研究理事会;
关键词：
Nonlinear diffusion; Travelling wave solutions; Geometric methods; Phase plane analysis; Spectral stability; FRONT PROPAGATION; EXISTENCE; DEGENERATE; CANARDS; AGGREGATION; STABILITY; EQUATIONS; MIGRATION; PATTERNS; INVASION;
D O I：
10.1007/s00285-020-01547-1
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, c*, and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions.
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页码：1495 / 1522
页数：28
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