The Stability Analysis and Transmission Dynamics of the SIR Model with Nonlinear Recovery and Incidence Rates

In the present paper, SIR model with nonlinear recovery and Monod type equation as incidence rates is proposed analyzed. The expression for basic reproduction number obtained which plays a main role in stability of disease-free endemic equilibria. nonstandard finite difference (NSFD) scheme constructed denominator function chosen such that suggested ensures solutions boundedness. It shown NSFD does not depend on step size gives better results all respects. To prove local equilibrium point, Jacobean method used; however, Schur–Cohn conditions are applied to discuss point discrete scheme. Enatsu criterion Lyapunov employed global Numerical simulations also presented advantages well strengthen theoretical results. specify preserves important properties continuous model. Consequently, they can produce estimates entirely according