A FREE BOUNDARY PROBLEM OF SOME MODIFIED LESLIE-GOWER PREDATOR-PREY MODEL WITH NONLOCAL DIFFUSION TERM

被引：3
作者：
Niu, Shiwen [1 ]
Cheng, Hongmei [1 ]
Yuan, Rong [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2022年 / 27卷 / 04期
关键词：
Predator-prey model; free boundary problem; nonlocal diffusion; spreading-vanishing dichotomy; LOGISTIC MODEL; TRAVELING-WAVES; STEFAN PROBLEM; STABILITY; SYSTEM; EXISTENCE; DYNAMICS; EQUATION; FRONTS;
D O I：
10.3934/dcdsb.2021129
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is mainly considered a Leslie-Gower predator-prey model with nonlocal diffusion term and a free boundary condition. The model describes the evolution of the two species when they initially occupy the bounded region [0; h(0)]. We first show that the problem has a unique solution defined for all t > 0. Then, we establish the long-time dynamical behavior, including Spreading-vanishing dichotomy and Spreading-vanishing criteria.
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页码：2189 / 2219
页数：31
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