Comments on “The Solution of aMathematicalModel for Dengue Fever Transmission Using Differential Transformation Method: J. Nig. Soc. Phys. Sci. 1 (2019) 82-87”

https://doi.org/10.46481/jnsps.2021.170

Authors

  • Gurpreet Tuteja Zakir Husain Delhi College, University of Delhi
  • Tapshi Singh Satyawati College, University of Delhi

Keywords:

SIR model, Differential Transformation Method (DTM), Dengue Fever, Treatment

Abstract

The mathematical model for dengue fever transmission studied by [1], has been re-investigated. The differential transformation method (DTM) is used to compute the semi-analytical solutions of the non-linear differential equations of the compartment (SIR) model of dengue fever. This epidemiology problem is well-posed. The effect of treatment as a control measure is studied through the growth equations of exposed and infected humans. The inadvertent errors in the recurrence relations (DTM) of equations for dengue disease transmission including initial conditions have been removed. Furthermore, the semi-analytic solutions of the model are obtained and verified with the built-in function AsymptoticDSolveValue of Wolfram Mathematica. It has been found that results obtained from the DTM are valid only for small-time t (t < 1.5), as t becomes large, the human population (exposed and recovered) and infected vector population become negative.

Dimensions

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Published

2021-05-29

How to Cite

Tuteja, G., & Singh, T. (2021). Comments on “The Solution of aMathematicalModel for Dengue Fever Transmission Using Differential Transformation Method: J. Nig. Soc. Phys. Sci. 1 (2019) 82-87”. Journal of the Nigerian Society of Physical Sciences, 3(2), 82–88. https://doi.org/10.46481/jnsps.2021.170

Issue

Section

Original Research