水库支持传染病传播的反应扩散模型分析
Analysis of a Reaction Diffusion Model for a Reservoir Supported Spread of Infectious Disease
摘要：
受最近埃博拉病毒爆发的影响，我们关注病媒库在支持高度致命疾病通过宿主人群时空传播方面所发挥的作用。在我们的背景下，宿主是一个能够窝藏和维持病原体的物种。我们开发的模型，描述了宿主人口中的疾病的水平传播时，宿主人口与水库接触，当它不与宿主人口接触。对这些反应扩散模型进行了分析，确定了它们的长期渐近性态。
英文摘要：
Motivated by recent outbreaks of the Ebola Virus, we are concerned with the role that a vector reservoir plays in supporting the spatio-temporal spread of a highly lethal disease through a host population. In our context, the reservoir is a species capable of harboring and sustaining the pathogen. We develop models that describe the horizontal spread of the disease among the host population when the host population is in contact with the reservoir and when it is not in contact with the host population. These models are of reaction diffusion type, and they are analyzed, and their long term asymptotic behavior is determined.
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