Traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey

被引：2

作者：

Jiao, Yujuan ^{[1
]}

Yang, Jinmiao ^{[1
]}

Zhang, Hang ^{[1
]}

机构：

[1] Northwest Minzu Univ, Coll Math & Comp Sci, Lanzhou 730030, Peoples R China

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 09期

关键词：

predator-prey model; traveling wave solution; upper and lower solution; Lyapunov function; LaSalle?s invariance principle; EQUATIONS; EXISTENCE;

D O I：

10.3934/math.2022888

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the traveling wave solutions to a cubic predator-prey diffusion model with stage structure for the prey. Firstly, using the upper and lower solutions method we prove the existence and non-existence of weak traveling wave solutions. Furthermore, we prove that the weak traveling wave solutions are actually traveling wave solutions under additional conditions by using Lyapunov function method and LaSalle's invariance principle.

引用

页码：16261 / 16277

页数：17

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