Global Stability of COVID-19 Model: A Case Study of Nepal

Abstract

COVID-19 (Corona Virus Disease) is continuously spreading all over the world from January 2020. It has been the major public health concern worldwide. In Nepal, the confirmed cases of the dis ease are increasing day by day. Mathematical modeling is one of the best tool to study the transmission dynamics of COVID - 19. In the present work, the transmission dynamics of COVID - 19 in Nepal with isolation is studied by using epidemic compartmental model. The global stability of the equilibrium points of the model are discussed with Lyapunov function. The stability of the disease is dependent on both trans- mission rate of the disease and the progression rate of the infectious state to isolated or hospitalized state. Simulations are made to observe situation of the disease in Nepal using the mathematical results graphically.