ANALYSIS OF DYNAMIC BEHAVIOUR OF FRACTIONAL ORDER SIR EPIDEMIC MODEL OF CHILDHOOD DISEASES USING RVIM

Neelu Pareek; Arvind Gupta

doi:10.56827/SEAJMMS.2022.1802.34

Neelu Pareek Department of Mathematics, Bhagat Singh Government Post Graduate College, Jaora - 457226, Ratlam, Madhya Pradesh, INDIA
Arvind Gupta Department of Mathematics, M. V. M., Bhopal - 462011, Madhya Pradesh, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1802.34

Keywords: Epidemics, Caputo fractional derivative, RVIM, Laplace Transform, Convolution.

Abstract

In the given article, the solution of a Mathematical Model of epidemic in childhood diseases is presented. Reconstruction of Variational Iteration Method (RVIM) is used to analyze the model which inculcates the Laplace Transform to reconstruct VIM. This technique is generally used to get solutions of fractional differential equations of linear and non linear form. The result obtained has been simulated and discussed through graphs.