Global dynamics of a reaction-diffusion waterborne pathogen model with general incidence rate

被引：26

作者：

Zhou, Jinling ^{[1
]}

Yang, Yu ^{[1
]}

Zhang, Tonghua ^{[2
]}

机构：

[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Zhejiang, Peoples R China

[2] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Waterborne pathogen; Reaction-diffusion; Global stability; Nonstandard finite difference; Lyapunov function; MULTIPLE TRANSMISSION PATHWAYS; CHOLERA EPIDEMIC MODEL; DIFFERENTIAL-EQUATIONS; DISEASE TRANSMISSION; REPRODUCTION NUMBERS; INFECTIOUS-DISEASES; STABILITY; PERSISTENCE; NETWORKS; MOVEMENT;

D O I：

10.1016/j.jmaa.2018.06.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first propose a reaction-diffusion waterborne pathogen model with general incidence rate, incorporating both direct and indirect transmission pathways. Then, using the basic reproduction number we investigate the global dynamical behaviors of the continuous model. By nonstandard finite difference scheme, we derive a discrete counterpart of the continuous model. Then, the global properties of the discretized model are investigated. Finally, we conclude the paper by an example and numerical simulations. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：835 / 859

页数：25

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