A mathematical model on the spread of COVID-19

In this paper, a nonlinear mathematical model of COVID-19 was formulated. We proposed a SEIQR model using a system of ordinary differential equations. COVID-19 free equilibrium and endemic equilibrium points of the model are obtained. The next-generation matrix investigates a basic reproduction number of the model. The stability analysis of the model equilibrium points was investigated using basic reproduction numbers. The results show that the disease-free equilibrium of the COVID-19 model is stable if the primary reproduction number is less than unity and unstable if the basic reproduction number is greater than unity. Sensitivity analysis was rigorously analyzed. Finally, numerical simulations are presented to illustrate the results.