A note on solutions of the SIR models of epidemics using HAM
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.
scientific article; zbMATH DE number 6368305