ODE Versus Petri Net Implementation of Identical SEIRS Model

Citation: Low, KKM, Ling, MHT. 2024. ODE Versus Petri Net Implementation of Identical SEIRS Model. Acta Scientific Medical Sciences 8(6): 100-104.

Link to [abstract].

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Differential equation; more commonly, ordinary differential equation (ODE); and Petri Net are complementary methods commonly used in dynamic systems modelling. However, the differences between ODE models and Petri Net models have not been adequately studied. In this study, we implement a closed 4-compartment SEIRS infectious disease model in both ODE and Petri Net, to examine the differences by comparing their simulation results. Our simulation results suggest that although there are differences between the simulation results across various ODE solvers, the differences between ODE or Petri Net implementations are significant differences (t ≥ 15.34, p-value ≤ 1.59E-12) as a whole; but these differences may not be significant across all compartments. This suggests that ODE model and Petri Net model may reveal different insights into the same problem; hence, supporting the view that ODE model and Petri Net model are complementary.