Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition

IF 1.8 1区数学 Q1 MATHEMATICS, APPLIED

Annales De L Institut Henri Poincare-Analyse Non Lineaire Pub Date : 2021-05-01 DOI:10.1016/j.anihpc.2020.07.006

Rui Peng , Chang-Hong Wu , Maolin Zhou

引用次数: 10

Abstract

This paper is concerned with the classical two-species Lotka-Volterra diffusion system with strong competition. The sharp dynamical behavior of the solution is established in two different situations: either one species is an invasive one and the other is a native one or both are invasive species. Our results seem to be the first that provide a precise spreading speed and profile for such a strong competition system. Among other things, our analysis relies on the construction of new types of supersolution and subsolution, which are optimal in certain sense.

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强竞争条件下Lotka-Volterra扩散系统扩散速度的精确估计

本文研究具有强竞争的经典两种Lotka-Volterra扩散系统。建立了两种不同情况下的尖锐动力学行为:一种是入侵种，另一种是本地种，或者两者都是入侵种。我们的结果似乎是第一个为如此强大的竞争系统提供精确的传播速度和轮廓。其中，我们的分析依赖于在某种意义上最优的新型超解和亚解的构造。

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

Annales De L Institut Henri Poincare-Analyse Non Lineaire 数学-应用数学

CiteScore

4.10

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： The Nonlinear Analysis section of the Annales de l''Institut Henri Poincaré is an international journal created in 1983 which publishes original and high quality research articles. It concentrates on all domains concerned with nonlinear analysis, specially applicable to PDE, mechanics, physics, economy, without overlooking the numerical aspects.