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
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