The Spreading Speed and the Existence of Planar Waves for a Class of Predator-prey System with Nonlocal Diffusion

IF 0.6 4区数学 Q3 MATHEMATICS

Taiwanese Journal of Mathematics Pub Date : 2021-01-01 DOI:10.11650/tjm/211001

Min Zhao, Zhaohai Ma, R. Yuan

引用次数: 2

Abstract

In this paper, we study a predator-prey system with general response function and nonlocal diffusion in high dimensional space and investigate the propagation properties of its solution. More precisely, we study the invasion speed of the predator into habitat of the aborigine prey and obtain the existence of the planar waves by constructing the upper and lower solutions. Finally, we present some numerical simulations to support our results.

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一类具有非局部扩散的捕食-食饵系统的传播速度和平面波的存在性

研究了高维空间中具有一般响应函数和非局部扩散的捕食-食饵系统，并研究了其解的传播性质。更准确地说，我们研究了捕食者进入原猎物栖息地的速度，并通过构造上下解得到了平面波的存在性。最后，我们给出了一些数值模拟来支持我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Taiwanese Journal of Mathematics 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

3 months

期刊介绍： The Taiwanese Journal of Mathematics, published by the Mathematical Society of the Republic of China (Taiwan), is a continuation of the former Chinese Journal of Mathematics (1973-1996). It aims to publish original research papers and survey articles in all areas of mathematics. It will also occasionally publish proceedings of conferences co-organized by the Society. The purpose is to reflect the progress of the mathematical research in Taiwan and, by providing an international forum, to stimulate its further developments. The journal appears bimonthly each year beginning from 2008.