Application of Homotopy Perturbation Method to an SIR Mumps Model
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Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
union of researchers of Macedonia.
Abstract
Mumps is one of the diseases that pose global threat to children
well-being. In this paper, the problem of the spread of mumps in a closed population
is investigated using a SIR compartmental model. Mathematical interpretation
of the problem generates nonlinear first-order differential equations. The
method of Homotopy Perturbation is adopted to derive the theoretical solutions
of the system. Numerical simulations of the analytical results are carried out
with the help of Maple 18 software and the solutions are presented in graphical
form. The solutions show that Homotopy Perturbation Method (HPM) is an
appropriate technique for solving epidemic models.
Description
Keywords
Mumps, SIR model, Homotopy Perturbation Method (HPM)
Citation
10