Numerical Solution of Fractional Order Epidemic Model of a Vector Born Disease by Laplace Adomian Decomposition Method

Authors

  • Fazal Haq (1) Department of Mathematics, Hazara University Mansehra, KPK, Pakistan. (2) Department of Mathematics and Statistics, University of Swat, KPK, Pakistan.
  • Kamal Shah Department of Mathematics, University of Malakand, Chakdara, Dir(L), Pakistan.
  • Asaf Khan Department of Mathematics and Statistics, University of Swat, KPK, Pakistan.
  • Muhammad Shahzad Department of Mathematics, Hazara University Mansehra, KPK, Pakistan.
  • Ghaus ur Rahman Department of Mathematics and Statistics, University of Swat, KPK, Pakistan.

Keywords:

Epidemic models, Fractional Derivatives, Laplace transform, Adomian decomposition method, Analytical solution

Abstract

In this paper, we bring into focus a fractional order epidemic model of a vector -born disease with direct transmission in a population which is assumed to have a constant size over the period of the epidemic is consider. In this article, we only study the numerical solutions of the concerned model with the help of Laplace-Adomian decomposition method. We obtain the solutions of the differential equations involved in the model in the form of infinite series. The concerned series rapidly converges to its exact value. Then, we compare our results with the results obtained by Runge-kutta method in case of integer order derivative.

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Published

2017-08-31

Issue

Vol. 49 No. 2 (2017)

Section

Articles

How to Cite

Numerical Solution of Fractional Order Epidemic Model of a Vector Born Disease by Laplace Adomian Decomposition Method. (2017). Punjab University Journal of Mathematics, 49(2), 12-21. https://pujm.pu.edu.pk/index.php/pujm/article/view/91

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