A Numerical Comparison of Petri Net and Ordinary Differential Equation SIR Component Models.

ABSTRACT: Petri Nets are an increasingly used modeling framework for the spread of disease across populations or within an individual. For example, the Susceptible-Infectious-Recovered (SIR) compartment model is foundational for population epidemiological modeling and has been implemented in several prior Petri Net studies. While the SIR model is typically expressed as Ordinary Differential Equations (ODEs), with continuous time and variables, Petri Nets operate as discrete event simulations with deterministic or stochastic timings. We present the first systematic study of the numerical convergence of two distinct Petri Net implementations of the SIRS compartment model relative to the standard ODE. In particular, we introduce a novel deterministic implementation of the SIRS model using dynamic trans

SUBMITTER: Reckell T 

PROVIDER: S-EPMC11275704 | biostudies-literature | 2025 Jul

REPOSITORIES: biostudies-literature