2025 ICIEST

Monkeypox, an infectious disease that is now easier to spread among people, must be modeled to help guide measures meant to control the infection. Although numerical methods help solve these models, problems with their accuracy and computational speed have not been resolved yet. In this study, the authors introduce a Modified Picard Iterative Method as a new approach to solve the monkeypox transmission model, which consists of eight nonlinear ordinary differential equations. This method is extra reliable, as it produces accurate solutions for both brief and long-term simulations similar to what the fourth-order Runge-Kutta method provides for all the time covered in the model. Offering an effective choice for classical numerical methods, the Modified Picard Iterative Method helps to discover insights about how monkeypox is spreading and improves the use of computational techniques in modeling infectious diseases.