A partially diffusive cholera model based on a general second-order differential operator

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:501

Article

Yamazaki, Kazuo¹  Yang, Chayu²  Wang, Jin³ 

[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[3] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

关键词: Cholera;    Kuratowski's measure of non-compactness;    Basic reproduction number;    Stability;    Weak repeller;   

DOI  :  10.1016/j.jmaa.2021.125181

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free