具有非局部扩散的三种群捕食竞争系统的渐近传播速度  

THE SPREADING SPEED FOR A NONLOCAL DIFFUSIVE PREDATOR-PREY MODEL WITH ONE PREDATOR AND TWO PREYS

作　　者：毕文联 周文 BI Wen-lian;ZHOU Wen(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,China)

机构地区：[1]安徽师范大学数学与统计学院,安徽芜湖241002

出　　处：《数学杂志》2022年第1期40-48,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China (11302002);Anhui Provincial Natural Science Foundation (2008085MA13)。

摘　　要：本文研究了一类具有非局部扩散效应的三种群捕食-食饵模型.我们主要关注的问题是当捕食者被引入两食饵物种栖息地时,在栖息地中入侵的渐近传播速度.通过利用反应扩散方程的比较原理和半群理论等理论,确定了捕食者入侵的渐近传播速度.In this paper,we investigate a nonlocal diffusive predator-prey model with one predator and two preys.Our main concern is the invasion process of the predator into the habitat of two aboriginal preys.By using comparison principle and semigroup theory of reaction diffusion equation,we confirm the asymptotic spreading speed of the predator.

关 键 词：捕食食饵模型 渐近传播速度 非局部扩散 比较原理 入侵 

分 类 号：O175.2[理学—数学]