Optimal solutions for the evolution of a social obesity epidemic model

  • Waseem Sikander
  • Umar Khan
  • Syed Tauseef Mohyud-Din
Regular Article
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Abstract.

In this work, a novel modification in the traditional homotopy perturbation method (HPM) is proposed by embedding an auxiliary parameter in the boundary condition. The scheme is used to carry out a mathematical evaluation of the social obesity epidemic model. The incidence of excess weight and obesity in adulthood population and prediction of its behavior in the coming years is analyzed by using a modified algorithm. The proposed method increases the convergence of the approximate analytical solution over the domain of the problem. Furthermore, a convenient way is considered for choosing an optimal value of auxiliary parameters via minimizing the total residual error. The graphical comparison of the obtained results with the standard HPM explicitly reveals the accuracy and efficiency of the developed scheme.

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Waseem Sikander
    • 1
  • Umar Khan
    • 2
  • Syed Tauseef Mohyud-Din
    • 1
  1. 1.Department of Mathematics, Faculty of SciencesHITEC UniversityTaxila CanttPakistan
  2. 2.Department of MathematicsCOMSATS Institute of Information TechnologyAbbottabadPakistan

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