On a predator-prey reaction-diffusion model with nonlocal effects

被引：18
|
作者：
Han, Bang-Sheng [1 ]
Yang, Ying-Hui [2 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2017年 / 46卷
关键词：
Predator-prey; Nonlocal; Comparison principle; Existence; Uniqueness; Bifurcation; FISHER-KPP EQUATION; POPULATION-MODEL; TRAVELING-WAVES; MULTIPLICATIVE NOISE; GLOBAL STABILITY; STEADY-STATES; ATTRACTORS; FRONTS; SYSTEM; DELAY;
D O I：
10.1016/j.cnsns.2016.10.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an initial value problem of a predator-prey system with integral term. By establishing comparison principle and constructing monotone sequences, the existence and uniqueness for the solution of that problem is proved. Then we further show the uniform boundedness. Finally, some conditions of Turing bifurcation occurring are given and illustrated by numerical simulations. (C) 2016 Elsevier B.V. All rights reserved.
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页码：49 / 61
页数：13
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