Analytical approximate solution of leptospirosis epidemic model with standard incidence rate

In this paper, we consider a mathematical model of leptospirosis disease which is an infectious disease. The model we are considering is a system of nonlinear ordinary differential equations and it is difficult to find exact solution. In order to compute the approximate solution, He's homotopy perturbation method is used. The findings obtained by HPM and Runge-Kutta fourth order (RK۴) methods are compared. To show the simplicity and reliability of the method, sample plots are given at the end of the paper.

Keywords:

Leptospirosis , Homotopy perturbation method , Epidemic model , Numerical simulations