Stability Analysis of a COVID-19 SEIQR Model with Switching Constant Transmission Rates

被引：0
|
作者：
Teng, Timothy Robin Y. [1 ]
Lutero, Destiny S. [1 ,2 ]
Tolentino, Mark Anthony C. [1 ]
机构：
[1] Ateneo Manila Univ, 1101 Loyola Hts, Quezon City, Philippines
[2] Univ Philippines Los Banos, Los Banos 4031, Laguna, Philippines
来源：
MATHEMATICAL MODELING IN PHYSICAL SCIENCES, IC-MSQUARE 2023 | 2024年 / 446卷
关键词：
Switching transmission rate; Non-autonomous; Infectious disease; COVID-19; SEIQR; EPIDEMIC; PULSE;
D O I：
10.1007/978-3-031-52965-8_44
中图分类号：
X [环境科学、安全科学];
学科分类号：
08 ; 0830 ;
摘要：
In this paper, we analyze threshold conditions for a COVID-19 susceptible-exposed-infectious-quarantined-recovered (SEIQR) model with a constant recruitment rate and a piecewise constant disease transmission rate using results from the theory of switching systems. We establish that if the basic reproduction number of the system under each mode p is less than 1, then the corresponding solutions tend to the disease-free equilibrium. Further, this condition is sufficient but is not necessary to guarantee disease eradication. Simulations show that it is possible to keep the transmission of infection at bay even if the basic reproduction numbers under some modes are not less than 1.
引用
收藏
页码：571 / 583
页数：13
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