Global dynamics and optimal control of a cholera transmission model with vaccination strategy and multiple pathways

被引：4

作者：

Song, Chenwei ^{[1
]}

Xu, Rui ^{[1
]}

Bai, Ning ^{[1
]}

Tian, Xiaohong ^{[1
]}

Lin, Jiazhe ^{[2
]}

机构：

[1] Shanxi Univ, Complex Syst Res Ctr, Taiyuan 030006, Shanxi, Peoples R China

[2] Army Engn Univ, Inst Appl Math, Shijiazhuang 050003, Hebei, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2020年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

cholera infection; vaccination; multiple pathways; stability; optimal control; VIBRIO-CHOLERAE; HYPERINFECTIVITY; PATHOGEN; NUMBERS; SPREAD; HOST;

D O I：

10.3934/mbe.2020233

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider a cholera infection model with vaccination and multiple transmission pathways. Dynamical properties of the model are analyzed in detail. It is shown that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number is less than unity; the endemic equilibrium exists and is globally asymptotically stable if the basic reproduction number is greater than unity. in addition, the model is successfully used to fit the real disease situation of cholera outbreak in Somalia. We consider an optimal control problem of cholera transmission with vaccination, quarantine, treatment and sanitation control strategies, and use Pontryagin's minimum principle, to determine the optimal control level. The optimal control problem is solved numerically.

引用

页码：4210 / 4224

页数：15

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