移动环境下带有非局部扩散项和时滞的反应扩散方程的强迫行波解

Abstract

Abstract:

This paper is devoted to establish the existence and uniqueness of the forced waves for a general reaction-diffusion equation with time delay and nonlocal diffusion term in a shifting environment. We first obtain the existence of the forced waves with the speed at which the habitat is shifting by using super- and sub-solutions method and monotone iteration method. Then we will give the uniqueness by applying the sliding method with the strong maximum principle. Finally, these analytical conclusions are applied to the nonlocal delayed Logistic model and the nonlocal delayed quasi-Nicholson's Blowfiles population model.

Key words: Forced waves, Delayed reaction-diffusion equation, Nonlocal diffusion, Shifting environment

CLC Number:

O175.2

Hongmei Cheng,Rong Yuan. Forced Waves of a Delayed Reaction-Diffusion Equation with Nonlocal Diffusion Under Shifting Environment[J].Acta mathematica scientia,Series A, 2022, 42(2): 491-501.

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[1]	Xin Wu,Rong Yuan,Zhaohai Ma. Analysis on Critical Waves and Non-Critical Waves for Holling-Tanner Predator-Prey System with Nonlocal Diffusion [J]. Acta mathematica scientia,Series A, 2021, 41(6): 1705-1717.
[2]	LI Yu-Huan, ZHOU Jun, MU Chun-Lai. Stability Analysis for a Predator-Prey System with Nonlocal Delayed Reaction-diffusion Equations [J]. Acta mathematica scientia,Series A, 2012, 32(3): 475-488.

Forced Waves of a Delayed Reaction-Diffusion Equation with Nonlocal Diffusion Under Shifting Environment

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