Mathematical studies for the reaction-diffusion models of the biological invasion and propagation phenomena

本研究的主要结果包括两个成分:(1)传染病的反应扩散模型,我们分析传染病的传播速度取决于参数出现在模型系统,给分析估计速度,(2)反应扩散的捕食模型,我们显示这个概要文件的新特性和电波的捕食者入侵的速度进入该地区的猎物。

The major result obtained in this research consists of two ingredients : (1) for the reaction-diffusion model of the infectious diseases, we analyze how the propagation speed of the infectious diseases depends on the parameters appearing in the model system and give the analytical estimate on the speed, (2) for the reaction-diffusion predator-prey model, we show the new features of the profile and the speed of the waves of the predator invading into the region occupied by the prey.