Analytical approximate solution of leptospirosis epidemic model with standard incidence rate

Document Type : Research Paper

Authors

1 Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhwa, Pakistan

2 Department of Mathematics, University of Malakand, Chakdara, Dir(Lower), Khyber Pakhtunkhwa, Pakistan

Abstract

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 (RK4) methods are compared. To show the simplicity and reliability of the method, sample plots are given at the end of the paper.

Keywords

Computational Methods for Differential Equations
Volume 7, Issue 3
July 2019
Pages 370-382

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History

  • Receive Date: 21 January 2018
  • Accept Date: 18 November 2018

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