Solution of Monkeypox Transmission Model using Picard Iterative Method

Abstract

Monkeypox, an emerging zoonotic disease, has shown potential for human-to-human transmission, which warrants detailed study of its spread dynamics. Understanding the dynamics of disease transmission is essential for effective control and prevention strategies. Mathematical models play a key role in studying these dynamics, but the reliability of the numerical methods used to solve these models can vary. Traditional approaches may face challenges in terms of accuracy and computational efficiency. In this paper, the Picard Iterative Method (PIM) is applied to Monkeypox Transmission model for fatal disease, which is an eight-dimensional system of nonlinear ordinary differential equations. This study introduces a novel approach by applying the Picard Iterative Method to solve the monkeypox transmission model. Previous studies have primarily focused on using both integer-order and fractional-order mathematical models to simulate monkeypox transmission dynamics. By employing the Picard Iterative Method, this research provides a fresh perspective and contributes to the development of numerical techniques in infectious disease modeling. Comparison between the Picard iterative solution and the classical Runge-Kutta (RK4) numerical solutions are made. Findings indicate that the Picard Iterative Method is reliable in short-term predictions of the monkeypox model, offering insights into potential outbreak patterns and informing public health responses.