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Analytical Solution of the Leptospirosis Epidemic model by Homotopy Perturbation method

Author Affiliations

  • 1Department of Mathematics, Abdul Wali Khan University Mardan, PAKISTAN
  • 2 Department of Mathematics, Islamia College University, Peshawar, PAKISTAN
  • 3 Department of Computer Science, Abdul Wali Khan University Mardan, PAKISTAN
  • 4 Department of Mathematics, University of Malakand Chakdara, Dir (lower), PAKISTAN

Res. J. Recent Sci., Volume 2, Issue (8), Pages 66-71, August,2 (2013)


In this paper, we consider a mathematical model of leptospirosis disease consisting of differential equations. We apply the Homotopy perturbation method to the proposed model to find both the analytic and approximate solutions. From our solutions, we obtained that Homotopy perturbation method is one of the most important method, like just few perturbation terms are sufficient for obtaining a reasonable accurate solution. The solution obtain from this method is good as compared to other standard numerical methods.


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