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

被引:11
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
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
收藏
页码:1833 / 1844
页数:12
相关论文
共 31 条
  • [21] MODELLING SEASONAL HFMD WITH THE RECESSIVE INFECTION IN SHANDONG, CHINA
    Ma, Yangjun
    Liu, Maoxing
    Hou, Qiang
    Zhao, Jinqing
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2013, 10 (04) : 1159 - 1171
  • [22] Transmission dynamics of cholera: Mathematical modeling and control strategies
    Sun, Gui-Quan
    Xie, Jun -Hui
    Huang, Sheng-He
    Jin, Zhen
    Li, Ming-Tao
    Liu, Liqun
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 45 : 235 - 244
  • [23] An updated estimation of the risk of transmission of the novel coronavirus (2019-nCov)
    Tang, Biao
    Bragazzi, Nicola Luigi
    Li, Qian
    Tang, Sanyi
    Xiao, Yanni
    Wu, Jianhong
    [J]. INFECTIOUS DISEASE MODELLING, 2020, 5 : 248 - 255
  • [24] Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    van den Driessche, P
    Watmough, J
    [J]. MATHEMATICAL BIOSCIENCES, 2002, 180 : 29 - 48
  • [25] WHO, 2020, COR DIS 2019 COVID 1
  • [26] Pathological findings of COVID-19 associated with acute respiratory distress syndrome
    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
    [J]. LANCET RESPIRATORY MEDICINE, 2020, 8 (04) : 420 - 422
  • [27] Prediction and Control of Brucellosis Transmission of Dairy Cattle in Zhejiang Province, China
    Zhang, Juan
    Sun, Gui-Quan
    Sun, Xiang-Dong
    Hou, Qiang
    Li, Mingtao
    Huang, Baoxu
    Wang, Haiyan
    Jin, Zhen
    [J]. PLOS ONE, 2014, 9 (11):
  • [28] Modeling Seasonal Rabies Epidemics in China
    Zhang, Juan
    Jin, Zhen
    Sun, Gui-Quan
    Sun, Xiang-Dong
    Ruan, Shigui
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2012, 74 (05) : 1226 - 1251
  • [29] Analysis of Rabies in China: Transmission Dynamics and Control
    Zhang, Juan
    Jin, Zhen
    Sun, Gui-Quan
    Zhou, Tao
    Ruan, Shigui
    [J]. PLOS ONE, 2011, 6 (07): : e20891
  • [30] Dynamics of COVID-19 mathematical model with stochastic perturbation
    Zhang, Zizhen
    Zeb, Anwar
    Hussain, Sultan
    Alzahrani, Ebraheem
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)