Traveling waves of some Holling-Tanner predator-prey system with nonlocal diffusion

被引：17
|
作者：
Cheng, Hongmei [1 ]
Yuan, Rong [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 338卷
基金：
中国国家自然科学基金;
关键词：
Traveling waves; Predator-prey model; Nonlocal diffusion; Schauder's fixed point theorem; Coexistence state; LOTKA-VOLTERRA SYSTEM; GLOBAL STABILITY; LESLIE-GOWER; EXISTENCE; FRONTS; EQUATION; MODEL; DISPERSAL; DELAYS; PROPAGATION;
D O I：
10.1016/j.amc.2018.04.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to establish the existence and non-existence of the traveling waves for the nonlocal Holling-Tanner predator-prey model. By applying the Schauder's fixed point theorem, we can obtain the existence of the traveling waves. Moreover, in order to prove the limit behavior of the traveling waves at infinity, we construct a sequence that converges to the coexistence state. For the proof of the nonexistence of the traveling waves, we use the property of the two-sided Laplace transform. Finally, we give the effect of the nonlocal diffusion term for the traveling waves. (C) 2018 Elsevier Inc. All rights reserved.
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页码：12 / 24
页数：13
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