Abstract
Modeling infectious diseases helped out to understand and overcome epidemics. This paper is
based on epidemic model SIR, which fits well to many epidemiological diseases. Basic idea of
Homotopy Analysis Method (HAM)is discussed and employed to compute an approximation to the
solution of nonlinear system of differential equations. The effect of vaccination on the dynamics of
childhood disease described by SIR model is monitored using HAM. The qualitative analysis reveals
the vaccination reproduction number for disease control and eradication. MATLAB is used to carry
out the computations. Graphical results are presented and discussed quantitatively.
Sumera. K, M. Rafiq, M.O.Ahmed, M.Usman, M.I. Bhatti. (2014) Solution of a Vaccination Based SIR Epidemic Model by Homotopy Analysis Method, Pakistan Journal of Engineering and Applied Sciences, VOLUME 15, Issue 1.
-
Views
2062 -
Downloads
158
Article Details
Volume
Issue
Type
Language
