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An efficient iterated method for mathematical biology model

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Abstract

The purpose of this study is to introduce an efficient iterated homotopy perturbation transform method (IHPTM) for solving a mathematical model of HIV infection of CD4+ T cells. The equations are Laplace transformed, and the nonlinear terms are represented by He’s polynomials. The solutions are obtained in the form of rapidly convergent series with elegantly computable terms. This approach, in contrast to classical perturbation techniques, is valid even for systems without any small/large parameters and therefore can be applied more widely than traditional perturbation techniques, especially when there do not exist any small/large quantities. A good agreement of the novel method solution with the existing solutions is presented graphically and in tabulated forms to study the efficiency and accuracy of IHPTM. This study demonstrates the general validity and the great potential of the IHPTM for solving strongly nonlinear problems.

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Acknowledgments

The authors wish to express their cordial thanks to the anonymous referees for useful suggestions and comments.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China

    Yasir Khan & Q. Wu

  2. School of Electronic Instrumentation, University of Veracruz, Xalapa, Mexico

    Héctor Vázquez-Leal

Authors
  1. Yasir Khan
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  2. Héctor Vázquez-Leal
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  3. Q. Wu
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Correspondence to Yasir Khan.

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Khan, Y., Vázquez-Leal, H. & Wu, Q. An efficient iterated method for mathematical biology model. Neural Comput & Applic 23, 677–682 (2013). https://doi.org/10.1007/s00521-012-0952-z

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  • DOI: https://doi.org/10.1007/s00521-012-0952-z

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