Dynamic stability of an SIQS epidemic network and its optimal control

被引：65

作者：

Li, Kezan ^{[1
,2
]}

Zhu, Guanghu ^{[1
]}

Ma, Zhongjun ^{[1
]}

Chen, Lijuan ^{[3
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guangxi Key Lab Cryptog & Informat Secur, Guilin 541004, Peoples R China

[2] Guilin Univ Elect Technol, Guanipci Coll & Univ Key Lab Data Anal & Computat, Guilin 541004, Peoples R China

[3] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2019年 / 66卷

基金：

中国国家自然科学基金;

关键词：

Epidemic network; Stability analysis; Optimal control; Quarantine control; GLOBAL STABILITY; MODEL; IMMUNIZATION; QUARANTINE;

D O I：

10.1016/j.cnsns.2018.06.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to better understand and utilize the quarantine control when encountering outbreaks of infectious diseases, this paper introduces a nonlinear SIQS epidemic model on complex networks. By using complex network theory and Lyapunov function method, we obtain its basic reproduction number and global stability of both disease-free equilibrium and endemic equilibrium. Moreover, we investigate the optimal quarantine control problem for reducing control cost. By applying the optimal control theory, we obtain existence and uniqueness of the optimal control and the model's optimal solution. These results are verified by some numerical examples, and the influence of network structure on the optimal control is also studied. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：84 / 95

页数：12

共 39 条

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