On the existence of traveling wave solutions and upper and lower bounds for some Fisher-Kolmogorov type equations

被引：5
|
作者：
Belmonte-Beitia, Juan [1 ,2 ]
机构：
[1] Univ Castilla La Mancha, Dept Matemat, ETS Ingn Ind, E-13071 Ciudad Real, Spain
[2] Univ Castilla La Mancha, IMACI, E-13071 Ciudad Real, Spain
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2014年 / 7卷 / 05期
关键词：
Fisher-Kolmogorov equations; nonlinear diffusion; heteroclinic orbits; upper and lower solutions; center manifold; LINEAR DIFFUSION PROBLEM; POPULATION-GENETICS;
D O I：
10.1142/S1793524514500508
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we use a dynamical systems approach to prove the existence of traveling waves solutions for the Fisher-Kolmogorov density-dependent equation. Moreover, we prove the existence of upper and lower bounds for these traveling wave solutions found previously. Finally, we present a particular example which has several applications in the mathematical biology field.
引用
收藏
页数：15
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