Application Of Madm In Identifying The Transmission Rate Of Dengue Fever: A Case Study Of Shah Alam, Malaysia
Autor: | Nuraini Yusoff, Harun Budin, Salemah Ismail |
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Jazyk: | angličtina |
Rok vydání: | 2011 |
Předmět: | |
DOI: | 10.5281/zenodo.1080401 |
Popis: | 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. {"references":["Ministry of Health, Malaysia. (2011, January 06). Dengue Fever and\nChikugunya situation in Malaysia. Retrieved January 25, 2011, from\nMinistry of Health, Malaysia: http://www.moh.gov.my/press_release/96","H. Hethcote, \"The Mathematics of Infectious Diseases,\" SIAM Review,\nvol. 42, no. 4, pp. 599-653, 2000.","L. Esteva and C. Vargas, \"Coexistence of different serotypes of dengue\nvirus,\" Journal of Mathematical Biology , vol. 46, pp. 31-47, 2003.","M. Derouich, A. Boutayeb, and E. Twizell, \" A model of dengue\nfever,\" BioMedical Engineering OnLine, vol. 2:4, pp. 1-10, Feb. 2003.","G. Gonzalez-Parra, A. J. Arenas, and L. Jodar, \" Piecewise Finite Series\nSolutions of Seasonal Disease Models using Multistage Adomian\nMethod,\" Communications in Nonlinear Science and Numerical\nSimulation , vol. 14, pp. 3967-3977, 2009.","M. Chowdhury, I. Hashim, and S. Mawa, \" Solution of prey-predator\nproblem by numeric-analytic technique,\" Nonlinear Science and\nNumerical Simulation , vol. 14, pp. 1008-1012, 2009.","I. Hashim, M. Noorani, R. Ahmad, S. Bakar, E. Ismail, and A. Zakaria,\n\"Accuracy of the Adomian decomposition method applied to the Lorenz\nsystem,\" Chaos, Soliton and Fractals , vol. 28, pp. 1149-1159, 2006.","S. Manseur, N. Messaoudi, and Y. Cherrualt, \" Parameter identification\nof an HIV model by the combined Adomian/Alienor method,\"\nKybernetes , vol. 35 (10), pp. 1725-1734, 2006.","G. Adomian, Solving frontier problems of physics: The decomposition\nmethod. Boston: Kluwer Academic Publishers, 1994.\n[10] A. M. Wazwaz, \" A new algorithm for calculating Adomian\npolynomials for nonlinear operators,\" Applied Mathematics and\nComputation , vol. 111, pp. 53-69, 2000.\n[11] J. Biazar, \" Solution of the epidemic model by Adomian decomposition\nmethod,\" Applied Mathematics and Computation , vol. 173, pp.1101-\n1106, 2006.\n[12] M. A. El-Tawil, A. A. Bahnasawi, and A. Abdel-Naby, \" Solving Riccati\ndifferential equation using Adomian's decomposition method,\" Applied\nMathematics and Computation , vol. 157, pp. 503-514, 2004.N. Yusoff,\nH. Budin, ans S. Ismail, \"Parameter estimation of the SIR model using\nthe multistage Adomian decomposition method (MADM)\" in\nProceedings of the 6th IMT-GT International Conference on\nMathematics, Statistics and its Applications (ICMSA 2010), 2010,\npp.635-645\n[13] M. Burattini, M. Chen, A. Chow, F. Coutinho, K. Goh, Lopez, et al.,\n\"Modelling the control strategies against dengue in Singapore,\"\nEpidemiology and Infection , vol. 136, pp. 309-319, 2008."]} |
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