Mathematical Analysis of COVID-19 by Using SIR Model with Convex Incidence Rate.

Abstract Our this manuscript is about a new COVID-19 SIR model, which contain three classes; Susceptible S(t), Infected I(t) and Recovered R(t) with Convex incidence rate. Firstly, we present the consider model in differential equations form. Secondly, “ the disease-free and endemic equilibrium” is calculated for the model. Also the basic reproduction number R 0 is derived for the model. Furthermore, Global stability is calculated through constructing Lyapunov Function and Local Stability is found through Jacobian matrix. Numerical simulation are calculated through (NFDS) Nonstandard Finite Difference scheme. In numerical simulation, we testify our model using data from Pakistan. Simulation mean with change of time how S(t), I(t) and R(t), protection, exposure and death rates affect the people.