Different semi-analytical methods for solving a non-linear initial value problem of an epidemic model

Abstract

An epidemiological model that employs five distinct compartments vaccinated, infected, susceptible, exposed, and recovered, is used in this work to investigate the dynamics of measles. Several semi-analytical techniques, such as the Differential Transformation Technique (DTM), Homotopy Analysis Approach (HAM), Daftardar-Jafari procedure (DJM), and Variational Iteration Strategies (VIM), were used to solve an epidemic model. These techniques’ outcomes were contrasted with the MATLAB numerical simulation.In comparison to MATLAB, HAM shows the least error and the highest accuracy of all the methodologies.The efficacy and dependability of HAM in resolving the specified epidemic model were demonstrated by the fact that its error % was substantially lower than those of DTM, DJM, and VIM. There are numerous more aspect parameters in the five-compartment model that are investigated and illustrated graphically. The study identifies that immunizations significantly slow the measles spreads. By lowering the number of ill persons, boosting vaccination coverage lessens the impact of disease on the general populace.