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A Note on Solutions of the SIR Models of Epidemics Using HAM
Author(s) -
M. Sajid,
Zaheer Abbas,
Nadeem Ali,
T. Javed
Publication year - 2013
Publication title -
isrn applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2090-5572
pISSN - 2090-5564
DOI - 10.1155/2013/457072
Subject(s) - homotopy analysis method , homotopy , mathematics , term (time) , domain (mathematical analysis) , epidemic model , computer science , mathematical optimization , mathematical analysis , pure mathematics , physics , quantum mechanics , population , demography , sociology
Recently, Awawdeh et al. (2009) discussed the solutions of SIR epidemics model using homotopy analysis method. This comment points out some crucial flaws in (Awawdeh et al. 2009). Particularly, results presented in Figure 1 of the (Awawdeh et al. 2009) 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.

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