Modeling the Transmission Dynamics of Coronavirus Using Nonstandard Finite Difference Scheme

A nonlinear mathematical model of COVID-19 containing asymptomatic as well symptomatic classes infected individuals is considered and examined in the current paper. The largest eigenvalue next-generation matrix known reproductive number obtained for model, serves an epidemic indicator. To better understand dynamic behavior continuous unconditionally stable nonstandard finite difference (NSFD) scheme constructed. aim developing NSFD differential equations its reliability, which means discretizing that retains important properties such positivity solutions convergence to equilibria all step sizes. Schur–Cohn criterion used address local stability disease-free endemic scheme; however, global determined by using Lyapunov function theory. We perform numerical simulations various values some key parameters see more characteristics state variables support our theoretical findings. confirm discrete maintains features model.