10.30495/ijm2c.2022.1937350.1228

Analytical Solution of the Effect of Awareness Program by Media on the Spread of an Infectious Disease by Homotopy Perturbation Method

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  • Devipriya Ganeshan*1,
  1. Department of Mathematics, Sri Krishna Adithya College of Arts and Science

Received: 09-08-2021

Accepted: 05-02-2022

Published in Issue 15-06-2022

Copyright (c) 2024 International Journal of Mathematical Modeling & Computations

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Ganeshan, D. (2022). Analytical Solution of the Effect of Awareness Program by Media on the Spread of an Infectious Disease by Homotopy Perturbation Method. International Journal of Mathematical Modelling & Computations, 12(2), 131-142. https://doi.org/10.30495/ijm2c.2022.1937350.1228
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Abstract

In this paper, the nonlinear dynamical system modeling the effect of awareness program by media on spread of infectious disease is considered. The model is mathematically formulated by the deterministic compartmental model consisting of susceptible population, infected population, aware population and cumulative density of awareness spread by the media. Homotopy perturbation method is used to obtain the approximate solution of the governing nonlinear differential equation, which consists in determining the series solution convergent to the exact solution or enabling to built the approximate solution of the problem. Numerical solutions are obtained and the results are discussed graphically using Maple. The method allows to determine the solution in form of the continuous function, and shows the significance of awareness program driven by media in spread of an infectious disease, but due to immigration, the disease may remain endemic . The simulation analysis of the model with different parameter values confirms the analytical results.
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