Traveling waves for the Lotka-Volterra predator-prey system without diffusion of the predator
Traveling waves for the Lotka-Volterra predator-prey system without diffusion of the predator
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DOI：
10.3934/dcdsb.2015.20.161
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发表时间：
2014-11
影响因子：
1.2
通讯作者：
Y. Hosono
中科院分区：
文献类型：
--
作者：
Y. Hosono
研究了不考虑捕食者扩散的Lotka-Volterra捕食者-食饵反应扩散模型的行波存在性及其传播速度。我们证明了任意正速度的行波的存在性。我们的数学工具是基于Wazewski定理的相空间中的打靶论。
This paper investigates the existence of traveling waves and their propagation speeds for the Lotka-Volterra predator-prey reaction-diffusion models with no predator diffusion. We prove the existence of traveling waves with any positive speed. Our mathematical tool is the shooting argument in the phase space based on the Wazewski theorem.