An Efficient Analytical Simulation Algorithm For Solving an Epidemiological model
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32875Keywords:
Epidemiology, Variation Iteration Method (VIM), Monte Carlo (MC) method, Analytical Simulation Methods (VIM-MC), SEIRV Model, Accelerated Predictor-Corrector Hally MethodAbstract
Combining an analytical method which is Variation Iteration Method (VIM) with one of the simulation methods such as Monte Carlo (MC) method to create a new algorithm represents the idea of this research. where it can be applied to a mathematical system dealing with random variables and at the same time nonlinear. This algorithm is used for the first time in this study through which the parameters of this non-linear system are estimated using MC and then using VIM to obtain analytical solutions, this study gives an idea and impression about the behavior of this model in the future. The results are compared with the previous studies using the absolute error as well as the relative error, finally the results are put in tables and also represented graphically.
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