Analysis of SEIR epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies

被引:12
作者
Meng, Lan [1 ]
Zhu, Wei [1 ]
机构
[1] Chongqing Univ Posts & Telecommun, Key Lab Intelligent Anal & Decis Complex Syst, Chongqing 400065, Peoples R China
基金
中国国家自然科学基金;
关键词
SEIR epidemic patch model; Nonlinear incidence rate; Vaccination; Quarantine; Disease-free equilibrium; Basic reproduction number; GLOBAL STABILITY; DYNAMICS; TRANSMISSION;
D O I
10.1016/j.matcom.2022.04.027
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, a susceptible-exposed-infectious-recovered (SEIR) epidemic patch model with nonlinear incidence rate, vaccination and quarantine strategies is presented. According to the properties of nonnegative matrices, the range of basic reproduction number is obtained. Moreover, the stability of disease-free equilibrium is studied. Some numerical simulations are given to validate the theoretical results. The effects of vaccination, quarantine strategies and population migration on disease transmission are also investigated by numerical simulations.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:489 / 503
页数:15
相关论文
共 36 条
[1]   Epidemiological implications of mobility between a large urban centre and smaller satellite cities [J].
Arino, Julien ;
Portet, Stephanie .
JOURNAL OF MATHEMATICAL BIOLOGY, 2015, 71 (05) :1243-1265
[2]  
Berman A., 1979, Nonnegative Matrices in the Mathematical Sciences
[3]   The Asian Epidemic Model: a process model for exploring HIV policy and programme alternatives in Asia [J].
Brown, T ;
Peerapatanapokin, W .
SEXUALLY TRANSMITTED INFECTIONS, 2004, 80 :i19-i24
[4]   Thresholds for Epidemic Spreading in Networks [J].
Castellano, Claudio ;
Pastor-Satorras, Romualdo .
PHYSICAL REVIEW LETTERS, 2010, 105 (21)
[5]   On the dynamics of SEIRS epidemic model with transport-related infection [J].
Denphedtnong, Adisak ;
Chinviriyasit, Settapat ;
Chinviriyasit, Wirawan .
MATHEMATICAL BIOSCIENCES, 2013, 245 (02) :188-205
[6]   Potential Effects of the Coronavirus Disease 2019 (COVID-19) Pandemic on Human Immunodeficiency Virus (HIV) Transmission: A Modeling Study in 32 US Cities [J].
Fojo, Anthony ;
Wallengren, Emma ;
Schnure, Melissa ;
Dowdy, David W. ;
Shah, Maunank ;
Kasaie, Parastu .
CLINICAL INFECTIOUS DISEASES, 2022, 75 (01) :E1145-E1153
[7]  
Frobenius G., 1912, MATRIZEN NICHTNEGATI
[8]  
Guo H., 2006, Can. Appl. Math. Q., V14, P259
[9]   GLOBAL STABILITY OF A NETWORK-BASED SIS EPIDEMIC MODEL WITH A GENERAL NONLINEAR INCIDENCE RATE [J].
Huang, Shouying ;
Jiang, Jifa .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (04) :723-739
[10]   The Potential Impact of Vaccination on the Dynamics of Dengue Infections [J].
Knipl, Diana ;
Moghadas, Seyed M. .
BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (12) :2212-2230