The Existence of Traveling Fronts of a Generalized Reaction-Diffusion Equation

被引：0
作者：
Zhang, Panpan [1 ]
Wu, Kuilin [1 ]
机构：
[1] Guizhou Univ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2025年 / 35卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Traveling wave; traveling front; phase portrait; heteroclinic orbit; FISHER EQUATION; REDUCTIONS; INVASION; WAVES;
D O I：
10.1142/S0218127425500452
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the traveling wave solutions of a generalized reaction-diffusion system based on the classical Fisher-type system. Through qualitative analysis and blow-up techniques, we prove the existence of traveling fronts of the system. Moreover, we detect the limit points (i.e. omega-limit points or alpha-limit points) of all traveling wave solutions by analyzing the global topological phase portraits of the equivalent system.
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页数：18
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