• THEORETICAL ANALYSIS OF EPIDEMIC MODELS WITH RANDOM COEFFICIENTS

K. Anitha, R. Malinidevi, O. M. Kirthiga, L. Rajendran*

Abstract


Mathematical model of epidemics is discussed. The aim of epidemic modeling is to understand and if possible control the spread of disease. Epidemic models thus express scientific hypotheses. In this paper, an approximate analytical solution for the nonlinear equations that describe epidemiology is derived by employing the Homotopy perturbation method (HPM). The obtained analytical results are compared with simulation results and found to be in satisfactory agreement.


Keywords


SIR epidemic models, Vaccination, Homotopy perturbation method, Mathematical modeling, Non-linear equations.

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