Traveling Waves in a Stage-Structured Predator-Prey Model with Holling Type Functional Response

被引:1
|
作者
Yan, Weifang [1 ]
机构
[1] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China
关键词
Stability; Traveling wave; Predator-prey system; Holling type functional response; DIFFUSION TERMS; SYSTEM; POINT; EXISTENCE; EQUATIONS; STABILITY; FRONTS; DELAY;
D O I
10.1007/s40840-020-00953-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This article is mainly concerned with a predator-prey model with Holling type functional response, where the stage structure and harvesting are considered. Firstly, we discuss the local stability of various equilibria by using the characteristic equation technique. Then, by constructing upper and lower solutions, we prove the existence of traveling waves connecting two steady states.
引用
收藏
页码:407 / 434
页数:28
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