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

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.