Author/Authors :
Altaf Khan، Muhammad نويسنده Department of Mathematics, Abdul Wali Khan University Mardan, Khyber Pakhtunkhwa, Pakistan , , Saddiq، Syed Farasat نويسنده Department of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa, Pakistan , , Khan، SherAfzal نويسنده Department of Education, Abdul Wali Khan, University Mardan, Khyber Pakhtunkhwa, Pakistan , , Khwaja Mir Islam، Saeed نويسنده MSc in Health Policy and Management, Director of Surveillance, Afghanistan National Public Health Institute, Ministry of Public Health, Kabul Afghanis ,
Abstract :
In this paper, an SIR (Susceptible, Infected and Recovered) epidemic model is consider to find the approximate/
exact solution by Perturbation method. We apply the Homotopy perturbation method to the model to find its
approximate solution. The Homotopperturbation method gives a good results for non-linear problems of differential
equations. First, we explain the method in detail and then we apply the HPM to our model. The analytical results are
solve numerically and compare with other standard methods. The numerical results shows the that HPM have a good
agreement with other standards. For illustrations of the theoretical results numerical results are presented in the form
of Graphs.
