ASYMPTOTIC STABILITY OF TWO TYPES OF TRAVELING WAVES FOR SOME PREDATOR-PREY MODELS

被引：5

作者：

Zhang, Hao ^{[1
]}

Izuhara, Hirofumi ^{[2
]}

Wu, Yaping ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Xisanhuan Beilu 105, Beijing 100048, Peoples R China

[2] Univ Miyazaki, Fac Engn, 1-1 Gakuen Kibanadai Nishi, Miyazaki 8802192, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 04期

关键词：

Traveling waves; asymptotic stability; spectral analysis; Evans function; GLOBAL STABILITY; FRONT SOLUTIONS; EXISTENCE; EQUATIONS; SYSTEM;

D O I：

10.3934/dcdsb.2021046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic stability of wave fronts and oscillatory waves for some predator-prey models. By spectral analysis and applying Evans function method with some numerical simulations, we show that the two types of waves with noncritical speeds are spectrally stable and nonlinearly exponentially stable in some exponentially weighted spaces.

引用

页码：2323 / 2342

页数：20

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