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Numerical Solution of SIR Model of Dengue Fever

by M. Khalid, Mariam Sultana, Fareeha Sami Khan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 118 - Number 21
Year of Publication: 2015
Authors: M. Khalid, Mariam Sultana, Fareeha Sami Khan
10.5120/20866-3367

M. Khalid, Mariam Sultana, Fareeha Sami Khan . Numerical Solution of SIR Model of Dengue Fever. International Journal of Computer Applications. 118, 21 ( May 2015), 1-4. DOI=10.5120/20866-3367

@article{ 10.5120/20866-3367,
author = { M. Khalid, Mariam Sultana, Fareeha Sami Khan },
title = { Numerical Solution of SIR Model of Dengue Fever },
journal = { International Journal of Computer Applications },
issue_date = { May 2015 },
volume = { 118 },
number = { 21 },
month = { May },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-4 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume118/number21/20866-3367/ },
doi = { 10.5120/20866-3367 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:02:18.753396+05:30
%A M. Khalid
%A Mariam Sultana
%A Fareeha Sami Khan
%T Numerical Solution of SIR Model of Dengue Fever
%J International Journal of Computer Applications
%@ 0975-8887
%V 118
%N 21
%P 1-4
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Dengue is a complex disease because of the link it forms between humans, mosquitoes, and several virus serotypes, including efficient strategies for vector survival strategies. For this reason, the understanding of various factors that influence the recurrence of Dengue has been an inescapable fight for policy makers and scientists alike. In this paper, the susceptible-infected-recovered (SIR) model of dengue fever is presented and solved by incorporating a new technique called the Perturbation Iteration Algorithm (PIA). Through this method, the solution is in the form of a convergent series with easily computable components. The results show that the PIA and RK4 were in outstanding conformity.

References
  1. Hethcote, H. W. (2000) The Mathematics of Infectious Diseases, SIAM, vol. 42, pp. 599-653.
  2. Newton, E. A. and Reiter, P. (1992) A model of the transmission of dengue fever with an evaluation of the impact of ultra-low volume (ULV) Insecticide applications on dengue epidemics. Am J Trop Med Hyg, vol. 47, pp. 709-720.
  3. Esteva, L. and Vargas, C. (1998) Analysis of a dengue disease transmission model, Mathematical Biosciences, vol. 150, pp. 131-151.
  4. Feng, Z. and Hernandez, V. (1997) Competitive exclusion in a vector-host model for the dengue fever, Journal of Mathematical Biology, vol. 35, pp. 523-544.
  5. Nuraini, N. , Soewono, E. and Sidarto, K. (2007) Mathematical model of dengue disease transmission with severe dhf compartment, Bulletin of the Malaysian Mathematical Sciences Society, vol. 30(2), pp. 143-157.
  6. Yaacob, Y. (2007) Analysis of a dengue disease transmission model without immunity, MATEMATIKA Universiti Teknologi Malaysia, vol. 23(2), pp. 75-81.
  7. Aksoy, Y. and Pakdemirli, M. (2010) New perturbationiteration solutions for Bratu-type equations, Computers and Mathematics with Applications, vol. 59(8), pp. 2802- 2808.
  8. Pakdemirli, M. , Aksoy, Y. and Boyaci, H. (2011) A new perturbation-iteration approach for first order differential equations, Mathematical and Computational Applications, vol. 16(4), pp. 890-899.
  9. Khalid, M. , Mariam, S. and Fareeha, S. K. (2015) A numerical computation of a model for HIV infection CD4+T-cell, International Journal of Innovation and Scientific Research, (In Press, Paper Key: IJISR-15-052-03).
  10. Khalid, M. , Mariam, S. , Faheem, Z. and Fareeha, S. K. (2015) Solving lakes system by using perturbation iteration method, International Journal of Computer Applications, vol. 114(4), pp. 1-7. 4
Index Terms

Computer Science
Information Sciences

Keywords

Dengue Fever Vector Population Perturbation Iteration Method Rate of Correlation

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