Vaccination of a multi-group model of zoonotic diseases with direct and indirect transmission

被引：1

作者：

Lv, Wei ^{[1
]}

Liu, Xue-Ying ^{[1
]}

Xu, Xin-Jian ^{[1
,2
]}

Lou, Jie ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Univ, Inst Syst Sci, Shanghai 200444, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 06期

关键词：

Vaccination; global stability; optimal control; zoonotic diseases; MATHEMATICAL-THEORY; BRUCELLOSIS MODEL; GLOBAL STABILITY; INFECTION; DYNAMICS;

D O I：

10.1142/S1793524519500682

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Vaccination plays an important role in preventing or reducing the spread of zoonotic, diseases. In this paper, we develop a susceptible-vaccinated-exposed-infectious-pathogen multi-group epidemic model of zoonotic diseases incorporating nonlinear direct and indirect incidence rates, nonlinear pathogen shedding rates, and common environmental contamination. Under certain assumptions, we first obtained the basic reproduction number of the model. Then, we utilized the comparison principle and global Lyapunov function method to prove global stability of dynamical equilibria. Finally, we analyzed optimal vaccination strategy. All the theoretical predictions were verified by numerical simulations.

引用

页数：28

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