Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method

Sumera. K, M.O. Ahmed, M.I. Bhatti, M. Rafiq, M. Usman


Modeling infectious diseases helped out to understand and overcome epidemics. This paper isbased on epidemic model SIR, which fits well tomany epidemiological diseases. Basic idea ofHomotopy Analysis Method (HAM)is discussed and employed to compute an approximation to thesolution of nonlinear system of differential equations. The effect of vaccination on the dynamics ofchildhood disease described by SIR model is monitored using HAM. The qualitative analysis revealsthe vaccination reproduction number for disease control and eradication. MATLAB is used to carryout the computations. Graphical results are presented and discussed quantitatively.

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