A note on solutions of the SIR models of epidemics using HAM
type: Item
instance of: scholarly article
title: A note on solutions of the SIR models of epidemics using HAM
zbMATH Open document ID: 1298.35024
DOI: 10.1155/2013/457072
author: M. Sajid
author: T. Javed
author: Z. Abbas
author: N. Ali
published in: ISRN Applied Mathematics
publication date: 2014-11-11T00:00:00Z
review text: Summary: Recently, \textit{F. Awawdeh} et al. [Chaos Solitons Fractals 42, No. 5, 3047--3052 (2009; Zbl 1198.65132)] discussed the solutions of SIR epidemics model using homotopy analysis method. This comment points out some crucial flaws in [loc. cit.]. Particularly, results presented in Figure 1 of [loc. cit.] do not represent the 20 term solution of the considered problem as stated. The present paper also provides a new approach for solving SIR epidemics model using homotopy analysis method. The new approach is based on dividing the entire domain into subintervals. In each subinterval the three-term HAM solution is sufficient for obtaining accurate and convergent results. The comparison of the obtained solution using new approach is made with the numerical results and found in excellent agreement.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6368305
Wikidata QID: Q58997013
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/457072
OpenAlex ID: W2033761455
cites work: Solutions of the SIR models of epidemics using HAM
cites work: Q4255115
cites work: The mathematics of infectious diseases
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description: scientific article; zbMATH DE number 6368305