Traveling wave solutions for diffusive predator-prey type systems with nonlinear density dependence

被引：10
|
作者：
Li, Huiru [1 ]
Xiao, Haibin [1 ]
机构：
[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Traveling wave solutions; Connecting orbits; Diffusive predator-prey systems; Nonlinear density dependence; Minimum wave speed; DEANGELIS FUNCTIONAL-RESPONSE; LOTKA-VOLTERRA EQUATIONS; SPREADING SPEED; GLOBAL ANALYSIS; MODEL; COMPETITION; EXISTENCE; DETERMINACY; CONNECTION; UNIQUENESS;
D O I：
10.1016/j.camwa.2017.06.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Traveling wave solution for a class of diffusive predator-prey system with nonlinear density dependence is considered. Using methods of topological shooting, we show the existence of a non-negative traveling wave solution connecting a boundary equilibrium to the co-existence steady state with the help of a Wazewski-like set together with Lyapunov function constructed elaborately. This means that the traveling wave solution established by Huang (2012) can be preserved in the presence of the nonlinear density dependence for the predator and the results of Huang (2012) are generalized. (C) 2017 The Author(s). Published by Elsevier Ltd.
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页码：2221 / 2230
页数：10
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