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| 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. |
| 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 |
| DOI： |
| 分类号:O175.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11302002) and Anhui Provincial Natural Science Foundation (2008085MA13) |
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| THE SPREADING SPEED FOR A NONLOCAL DIFFUSIVE PREDATOR-PREY MODEL WITH ONE PREDATOR AND TWO PREYS |
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Wen-lian BI,Wen ZHOU
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| Abstract: |
| 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. |
| Key words: predator-prey system spreading speed nonlocal diffusion comparison principle Invasion |
