Dynamical Simulation of a New Seiqr Covid-19 Model

The purpose of this article is to discuss the dynamics of Corona virus epidemic model. We first formulate the proposed model and obtain the value of threshold parameter R0 for the model. We then determine both the disease-free equilibrium (DFE) and endemic equilibrium (EE) and discuss the stability of the model. We show that both the equilibrium states are locally asymptotically stable. We use the Euler method, Runge-Kutta method of order 4 (RK4) and a non-standard finite difference (NSFD) scheme for the Corona virus epidemic model. In contrast to Euler, RK4, which fails for large time step size, it is found that the NSFD scheme preserves the dynamics of the proposed model for any step size used. Numerical results along with the comparison, using different values of step size h, are provided.