具有非局部扩散和自由边界的Lotka-Volterra竞争模型动力学

IF 1.5 3区数学 Q1 MATHEMATICS

Advances in Differential Equations Pub Date : 2019-05-23 DOI:10.57262/ade026-0304-163

Jia-Feng Cao, Wan-Tong Li, Jie Wang

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引用次数: 14

摘要

本文研究了一个非局部扩散Lotka-Volterra型竞争模型，该模型由自由边界一维栖息地中的一个本地物种和一个入侵物种组成。我们证明了系统的适定性，并得到了入侵物种的传播消失二分法。我们还提供了一些充分的条件，以确保入侵物种分别是劣势竞争对手或优势竞争对手的情况下传播成功或传播失败。

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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The Dynamics of a Lotka-Volterra competition model with nonlocal diffusion and free boundaries

This paper is concerned with a nonlocal diffusion Lotka-Volterra type competition model that consisting of a native species and an invasive species in a one-dimensional habitat with free boundaries. We prove the well-posedness of the system and get a spreading-vanishing dichotomy for the invasive species. We also provide some sufficient conditions to ensure spreading success or spreading failure for the case that the invasive species is an inferior competitor or a superior competitor, respectively.

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来源期刊

Advances in Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Differential Equations will publish carefully selected, longer research papers on mathematical aspects of differential equations and on applications of the mathematical theory to issues arising in the sciences and in engineering. Papers submitted to this journal should be correct, new and non-trivial. Emphasis will be placed on papers that are judged to be specially timely, and of interest to a substantial number of mathematicians working in this area.