Application of MADM in Identifying the Transmission Rate of Dengue fever: A Case Study of Shah Alam, Malaysia
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Application of MADM in Identifying the Transmission Rate of Dengue fever: A Case Study of Shah Alam, Malaysia

Authors: Nuraini Yusoff, Harun Budin, Salemah Ismail

Abstract:

Identifying parameters in an epidemic model is one of the important aspect of modeling. In this paper, we suggest a method to identify the transmission rate by using the multistage Adomian decomposition method. As a case study, we use the data of the reported dengue fever cases in the city of Shah Alam, Malaysia. The result obtained fairly represents the actual situation. However, in the SIR model, this method serves as an alternative in parameter identification and enables us to make necessary analysis for a smaller interval.

Keywords: dengue fever, multistage Adomian decomposition method, Shah Alam, SIR model

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1080402

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[1] Ministry of Health, Malaysia. (2011, January 06). Dengue Fever and Chikugunya situation in Malaysia. Retrieved January 25, 2011, from Ministry of Health, Malaysia: http://www.moh.gov.my/press_release/96
[2] H. Hethcote, "The Mathematics of Infectious Diseases," SIAM Review, vol. 42, no. 4, pp. 599-653, 2000.
[3] L. Esteva and C. Vargas, "Coexistence of different serotypes of dengue virus," Journal of Mathematical Biology , vol. 46, pp. 31-47, 2003.
[4] M. Derouich, A. Boutayeb, and E. Twizell, " A model of dengue fever," BioMedical Engineering OnLine, vol. 2:4, pp. 1-10, Feb. 2003.
[5] G. Gonzalez-Parra, A. J. Arenas, and L. Jodar, " Piecewise Finite Series Solutions of Seasonal Disease Models using Multistage Adomian Method," Communications in Nonlinear Science and Numerical Simulation , vol. 14, pp. 3967-3977, 2009.
[6] M. Chowdhury, I. Hashim, and S. Mawa, " Solution of prey-predator problem by numeric-analytic technique," Nonlinear Science and Numerical Simulation , vol. 14, pp. 1008-1012, 2009.
[7] I. Hashim, M. Noorani, R. Ahmad, S. Bakar, E. Ismail, and A. Zakaria, "Accuracy of the Adomian decomposition method applied to the Lorenz system," Chaos, Soliton and Fractals , vol. 28, pp. 1149-1159, 2006.
[8] S. Manseur, N. Messaoudi, and Y. Cherrualt, " Parameter identification of an HIV model by the combined Adomian/Alienor method," Kybernetes , vol. 35 (10), pp. 1725-1734, 2006.
[9] G. Adomian, Solving frontier problems of physics: The decomposition method. Boston: Kluwer Academic Publishers, 1994.
[10] A. M. Wazwaz, " A new algorithm for calculating Adomian polynomials for nonlinear operators," Applied Mathematics and Computation , vol. 111, pp. 53-69, 2000.
[11] J. Biazar, " Solution of the epidemic model by Adomian decomposition method," Applied Mathematics and Computation , vol. 173, pp.1101- 1106, 2006.
[12] M. A. El-Tawil, A. A. Bahnasawi, and A. Abdel-Naby, " Solving Riccati differential equation using Adomian's decomposition method," Applied Mathematics and Computation , vol. 157, pp. 503-514, 2004.N. Yusoff, H. Budin, ans S. Ismail, "Parameter estimation of the SIR model using the multistage Adomian decomposition method (MADM)" in Proceedings of the 6th IMT-GT International Conference on Mathematics, Statistics and its Applications (ICMSA 2010), 2010, pp.635-645
[13] M. Burattini, M. Chen, A. Chow, F. Coutinho, K. Goh, Lopez, et al., "Modelling the control strategies against dengue in Singapore," Epidemiology and Infection , vol. 136, pp. 309-319, 2008.