Gillespie algorithm in simulating markovian epidemic models

• Grant number: 24/08892-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2024
• End date: May 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Thomas Kaue Dal Maso Peron
• Grantee: João Pedro Farjoun Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The spread of infectious diseases is a crucial public health challenge, and Markovian epidemiological models offer a robust mathematical framework for understanding them. The Gillespie Algorithm, with its event-based approach, is fundamental for the accurate simulation of stochastic systems derived from these models. In this project, we will study the fundamental principles of the Gillespie Algorithm and its computational implementation. We will apply the methods involved in simulating contagion processes in large networks, including multilayer networks and hypergraphs. Strategies to improve computational efficiency will also be investigated. This project is expected to contribute to a better understanding of the dynamics of infectious diseases in networks and their computational modeling.