International Science Community AssociationResearch Journal of Recent Sciences2277 - 2502212013January2Application of Homotopy Analysis Method to SIR Epidemic Model9196ENChikweT.N.1OsujiL.C.2R.E.Ogali3OkoyeI.P.4KumarU.1 Departement of Civil Engineering, National Institute of Technology, Silchar, Assam, INDIAJ.Acharya2JainMonica1 Life Science Department, Maharaja Ranjit Singh College of Professional Sciences, Indore-17, MP, INDIARajputRitika2MishraAnamika3ZahediMorteza1School of Computer Engineering, Shahrood University of Technology, Shahrood, IRANMohamadianZahra2ChangizVatankhah1Department of Physics, Islamic Azad University, Mahshahr Branch, Mahshahr, IRANAliEbadi2OviriO.K.1 Physics Department, Faculty of Physical Sciences, Nnamdi Azikiwe University, P.M.B 5024, Awka, Anambra State, NIGERIAEkpunobiA.J.2KavuriN.C.1 Department of Civil Engineering, National Institue of Technology, Roukela-769008, Odisha, INDIAPaulK.K.2Khandelwal.D.H1 Department of Chemistry, Pacific College of Basic and Applied Sciences, Pacific University, Udaipur-313024, Rajasthan, INDIA AmetaR.2 Department of Chemistry, Govt. P.G. College, Nathdwara, Rajasthan, INDIA GuptaSantoshKumar1Department of Electronics and Communication Engineering, National Institute of Technology Silchar, Assam – 788 010, INDIABaishyaSrimanta2MorabandzaC.J.1Department of Natural Sciences, ENS, University Marien Ngouabi, P.O. Box 69 Brazzaville, CONGO OngokaR.P.2 Department of Exact Sciences, ENS University Marien NgouabiI, P.O. Box 69 Brazzaville, CONGO MatiniL.3 Department of Biochemistry and Pharmacology, Health Sciences Faculty, University Marien Ngouabi, Brazzaville, CONGOEpaC.4NkounkouL.C.5AbenaA.A.6MengistieAlemayehuBelay1Department of Physical Education, Andhra University, Visakhapatnam, INDIA ReddyR.C.2 Physical Education Department and Secretary of Sport Board, Andhra University, Visakhapatnam, INDIAM.SyamBabu3ShahM.1Department of Mathematics, Quaid-e-Azam University, Islamabad, PAKISTAN I.Ahmad2 Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, PAKISTANA.Ali3VemulaMadhavi1 Department of Chemistry, S.V. University, Tirupati-517 502, AP, INDIA ReddyAmbavaramVijayBhaskar2 Department of Soil Science, Regional Agricultural Research Station, Acharya N G Ranga Agricultural University, Tirupati, AP, INDIAReddyKalluruGangadhara3GajulapalleMadhavi4PrasadTollamaduguNagaVenkataKrishnaVara5RosmanMd.Y.1Faculty of Management and Human Resource Development, University Technology, MALAYSIA ShahF.A.2HussainJ.3HussainA.4VahdatiS.1Department of Mathematics, Khansar Faculty of Mathematics and Computer Science, University of Isfahan, Isfahan, IRAN TavassoliKajaniM.2 Department of Mathematics, Khorasgan Branch, Islamic Azad University, Isfahan, IRAN GhasemiM.3 Department of Applied Mathematics, Faculty of Mathematical Sciences,Shahrekord University, Shahrekord, IRAN >
Research Article201210122013January2 In this article, the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. Mathematical modeling of the problem leads to a system of nonlinear ordinary differential equations. Homotopy analysis method is employed to solve this system of nonlinear ordinary differential equations. Copyright@ International Science Community Association