A partially diffusive cholera model based on a general second-order differential operator
A partially diffusive cholera model based on a general second-order differential operator
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DOI：
10.1016/j.jmaa.2021.125181
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发表时间：
2021-03-29
影响因子：
1.3
通讯作者：
Wang, Jin
中科院分区：
文献类型：
--
作者：
Yamazaki, Kazuo;Yang, Chayu;Wang, Jin
我们提出了一个新的数学模型霍乱传播动力学使用系统的反应-对流-扩散方程。该模型不同于先前发表的基于偏微分方程（PDEs）的霍乱模型，因为扩散和对流过程仅被纳入细菌动力学，这是由一般二阶微分算子描述的。这一特点使我们能够仔细研究病原菌在异质水生环境中的运动和传播及其对人类宿主之间霍乱传播的影响。我们严格分析了这个部分扩散系统的适定性和稳定性，并建立了表征霍乱传播动力学的阈值结果。(c) 2021爱思唯尔公司版权所有。
We propose a new mathematical model for cholera transmission dynamics using a system of reaction-convection-diffusion equations. The model differs from previously published partial differential equations (PDEs) based cholera models in that the diffusion and convection processes are only incorporated into the bacterial dynamics, which are described by a general second-order differential operator. This feature allows us to perform a careful study on the movement and dispersal of the pathogenic bacteria in a heterogeneous aquatic environment and its impact on cholera transmission among human hosts. We rigorously analyze the well-posedness and stability of this partially diffusive system, and establish threshold results characterizing cholera transmission dynamics. (c) 2021 Elsevier Inc. All rights reserved.