Existence of traveling wave solutions for Gause-type models of predator-prey systems

被引：4
|
作者：
Lv, Yunfei [1 ]
Yuan, Rong [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷
关键词：
Traveling wave; Gause predator-prey models; Wazewski set; LaSalle's invariance principle; Hopf bifurcation theory; FUNCTIONAL-RESPONSE; GRAPHICAL APPROACH; EQUATIONS; ENRICHMENT; STABILITY;
D O I：
10.1016/j.amc.2013.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the existence of three types of traveling waves for a general 'predator-prey systems of Gause type: traveling wave train solution, point-to-point and point-toperiodic traveling wave solutions. Applying the methods of Wazewski theorem, LaSalle's invariance principle and Hopf bifurcation theorem, we obtain the existence results. Also, the minimal wave speed for biological invasion is obtained. Furthermore, some applications are given to illustrate our results. (C) 2013 Elsevier Inc. All rights reserved.
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页码：70 / 84
页数：15
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