具有两自由边界的Leslie-Gower捕食者-猎物模型

2022 International Conference on Information Science and Communications Technologies (ICISCT) Pub Date : 2022-09-28 DOI:10.1109/ICISCT55600.2022.10146896

A. Elmurodov, N.N. Yuldashev, R. Maqsudov, Gulnoz Abdikayimova

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引用次数: 0

摘要

在本文中，我们研究了两个物种在具有两自由边界的区域内进化的行为。该系统模拟了入侵或新的捕食者物种的传播，其中自由边界代表了捕食者物种的扩张前沿，并由Stefan条件描述。建立了所需功能的先验估计。这些估计被用来证明解的存在唯一性。

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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A Leslie-Gower predator-prey model with a two-free boundary

In this article, we study the behavior of two species evolving in a domain with a two-free boundary. This system mimics the spread of invasive or new predator species, in which free boundaries represent the expanding fronts of predator species and are described by the Stefan condition. A priori estimates for the required functions are established. These estimates are used to prove the existence and uniqueness of the solution.

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2022 International Conference on Information Science and Communications Technologies (ICISCT)

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