Travelling wave solutions of a diffusive single species model with a strong generic delay kernel

doi:10.3969/j.issn.1000-5641.201911019

Journal of East China Normal University(Natural Science) ›› 2020, Vol. 2020 ›› Issue (4): 18-25.doi: 10.3969/j.issn.1000-5641.201911019

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Travelling wave solutions of a diffusive single species model with a strong generic delay kernel

YANG Gaoxiang^1,2

1. School of Mathematics and Statistics, Ankang University, Ankang, Shaanxi 725000, China;
2. Institute of Mathematics and Applied Mathematics, Ankang University, Ankang, Shaanxi 725000, China

Received:2019-04-29 Published:2020-07-20

Abstract

Abstract: In this paper, the existence of travelling wave solutions of a diffusive single species model with a strong generic delay kernel is established in two steps. Firstly, in the case of a species model without time delay, the existence of travelling wave solutions of the species model is obtained by using qualitative theories of ordinary differential equations. Secondly, when the time delay is greater than zero and sufficiently small, the existence of travelling wave solutions of the species model is verified by using linear chain techniques and the geometric singular perturbation theory.

Key words: travelling wave solutions, strong generic delay kernel, geometric singular perturbation theory

CLC Number:

O175.26

YANG Gaoxiang. Travelling wave solutions of a diffusive single species model with a strong generic delay kernel[J]. Journal of East China Normal University(Natural Science), 2020, 2020(4): 18-25.

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Travelling wave solutions of a diffusive single species model with a strong generic delay kernel

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