Optimal control of an SIQRS epidemic model with three measures on networks

被引：0
作者：
Lei Zhang
Maoxing Liu
Boli Xie
机构：
[1] North University of China,School of Big Data
[2] North University of China,Department of Mathematics
来源：
Nonlinear Dynamics | 2021年 / 103卷
关键词：
Optimal control; Vaccination; Quarantine; Treatment; Networks; Disease;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
At present, the main measures for disease control are vaccination, quarantine and treatment. Taking the three measures into consideration, time-varying optimal control problems of an SIQS epidemic model of the network are proposed, and the aim of this paper is to reduce control costs. The existence and solutions of the problems are solved by the optimal control theory. At last, the theoretical results are illustrated by numerical simulations. The results of numerical simulations show the advantages of different control strategies. It may be helpful for the development of disease control strategies. Our results are suitable for diseases in which a recovered individual may have lost immunity and can be infected again.
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页码：2097 / 2107
页数：10
相关论文
共 102 条
[1]  
Pastor-Satorras R(2015)Epidemic processes in complex networks Rev. Mod. Phys. 87 925-979
[2]  
Castellano C(2001)Epidemic Spreading in Scale-Free Networks Phys. Rev. Lett. 86 3200-3203
[3]  
Van Mieghem P(2003)Epidemic spreading in complex networks with degree correlations Lect. Notes Phys. 625 127-147
[4]  
Vespignani A(2004)Unexpected epidemic thresholds in heterogeneous networks: the role of disease transmission Phys. Rev. E 70 030902-8616
[5]  
Pastor-Satorras R(2004)Velocity and Hierarchical Spread of Epidemic Outbreaks in Scale-Free Networks Phys. Rev. Lett. 92 178701-37
[6]  
Vespignani A(2013)Gordillo, Reducing mosquito-borne disease outbreak size: The relative importance of contact and transmissibility in a network model Appl. Math. Model. 37 8610-832
[7]  
Bogun M(2018)Dynamics analysis of epidemic and information spreading in overlay networks J. Theor. Biol. 444 28-1060
[8]  
Pastor-Satorras R(2019)Complex dynamics of epidemic models on adaptive networks J. Differ. Equ. 266 803-415
[9]  
Vespignani A(1982)Directly transmitted infectious diseases: control by vaccination Science 215 1053-198
[10]  
Olinky R(1982)The logic of vaccination New Scientist 1971 410-1148
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