Global dynamics of COVID-19 epidemic model with recessive infection and isolation

被引：12

作者：

Yuan, Rong ^{[1
]}

Ma, Yangjun ^{[2
]}

Shen, Congcong ^{[3
]}

Zhao, Jinqing ^{[4
]}

Luo, Xiaofeng ^{[1
]}

Liu, Maoxing ^{[1
]}

机构：

[1] North Univ China, Sch Sci, Taiyuan 030051, Peoples R China

[2] Chongqing Jiaotong Univ, Sch Math & Stat, Chongqing 400074, Peoples R China

[3] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China

[4] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2021年 / 18卷 / 02期

关键词：

COVID-19 epidemic model; recessive infection; isolation; asymptotically stable; basic reproduction number; TRANSMISSION; PROVINCE;

D O I：

10.3934/mbe.2021095

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present an SEIIaHR epidemic model to study the influence of recessive infection and isolation in the spread of COVID-19. We first prove that the infection-free equilibrium is globally asymptotically stable with condition R-0 < 1 and the positive equilibrium is uniformly persistent when the condition R-0 > 1. By using the COVID-19 data in India, we then give numerical simulations to illustrate our results and carry out some sensitivity analysis. We know that asymptomatic infections will affect the spread of the disease when the quarantine rate is within the range of [0.3519, 0.5411]. Furthermore, isolating people with symptoms is important to control and eliminate the disease.

引用

页码：1833 / 1844

页数：12

共 31 条

[21] Transmission dynamics of cholera: Mathematical modeling and control strategies [J].

Sun, Gui-Quan ;

Xie, Jun -Hui ;

Huang, Sheng-He ;

Jin, Zhen ;

Li, Ming-Tao ;

Liu, Liqun .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 45 :235-244

[22] An updated estimation of the risk of transmission of the novel coronavirus (2019-nCov) [J].

Tang, Biao ;

Bragazzi, Nicola Luigi ;

Li, Qian ;

Tang, Sanyi ;

Xiao, Yanni ;

Wu, Jianhong .

INFECTIOUS DISEASE MODELLING, 2020, 5 :248-255

[23] Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission [J].

van den Driessche, P ;

Watmough, J .

MATHEMATICAL BIOSCIENCES, 2002, 180 :29-48

[24] Immediate Psychological Responses and Associated Factors during the Initial Stage of the 2019 Coronavirus Disease (COVID-19) Epidemic among the General Population in China [J].

Wang, Cuiyan ;

Pan, Riyu ;

Wan, Xiaoyang ;

Tan, Yilin ;

Xu, Linkang ;

Ho, Cyrus S. ;

Ho, Roger C. .

INTERNATIONAL JOURNAL OF ENVIRONMENTAL RESEARCH AND PUBLIC HEALTH, 2020, 17 (05)

[25]

World Health Organization, 2020, Situation Report-51: Coronavirus disease 2019 (COVID-19), DOI DOI 10.1001/JAMA.2020.2633

[26] Pathological findings of COVID-19 associated with acute respiratory distress syndrome [J].

Xu, Zhe ;

Shi, Lei ;

Wang, Yijin ;

Zhang, Jiyuan ;

Huang, Lei ;

Zhang, Chao ;

Liu, Shuhong ;

Zhao, Peng ;

Liu, Hongxia ;

Zhu, Li ;

Tai, Yanhong ;

Bai, Chongqing ;

Gao, Tingting ;

Song, Jinwen ;

Xia, Peng ;

Dong, Jinghui ;

Zhao, Jingmin ;

Wang, Fu-Sheng .

LANCET RESPIRATORY MEDICINE, 2020, 8 (04) :420-422

[27]

Zhang J, 2014, PLOS ONE, V9, DOI [10.1371/journal.pone.0108592, 10.1371/journal.pone.0112270]

[28] Modeling Seasonal Rabies Epidemics in China [J].

Zhang, Juan ;

Jin, Zhen ;

Sun, Gui-Quan ;

Sun, Xiang-Dong ;

Ruan, Shigui .

BULLETIN OF MATHEMATICAL BIOLOGY, 2012, 74 (05) :1226-1251

[29] Analysis of Rabies in China: Transmission Dynamics and Control [J].

Zhang, Juan ;

Jin, Zhen ;

Sun, Gui-Quan ;

Zhou, Tao ;

Ruan, Shigui .

PLOS ONE, 2011, 6 (07) :e20891

[30]

Zhang ZZ, 2020, ADV DIFFER EQU-NY, V2020, DOI [10.1155/2020/8854811, 10.1186/s13662-020-02909-1]

← 1 2 3 4 →