Work

一类时间周期的时滞竞争系统行波解的存在性

Year: 2020

Type: article

Abstract: A time-periodic reaction-diffusion Lotka-Volterra competition model with delay was considered. Under certain conditions, with the method of super- and sub-solutions and monotone iterations, the existence of time-periodic traveling waves connecting 2 semi-trivial periodic solutions of the corresponding kinetic system was proved with wave speed c<c*.Furthermore, the traveling wave solutions for c<c* were proved to be monotone with the comparison principle, and the asymptotic behaviors of traveling wave solutions were obtained at minus/plus infinity. Finally, the existence of traveling wave solutions was proved at wave speed c=c*.

Source: 应用数学和力学

DOI: 10.21656/1000-0887.400275

Authors: 谷雨萌，黄明迪, GU Yumeng, HUANG Mingdi

Language: Chinese

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

OpenAlex ID: W4237075160

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