A Comparative Analysis of CA Model and ODE Model for SIR-type Epidemics. A MATLAB-based Solution to ARGESIM Benchmark C17

Simulation Notes Europe SNE 23(2), 2013, 107-110
DOI: 10.11128/sne.23.bn17.10193


This paper presents an extended and modi-fied approach and solution to ARGESIM benchmark C17 ‘Spatial Dynamics of SIR-type Epidemic, which is comparing modelling and simulation approach with ODEs (McKendrick’s SIR model) and with cellular automata (LCGA - Lattice Gas Cellular Automaton). Model implementations (ODE and CA) are directly programmed in MATLAB, using the MATLAB ODE solvers, and programming the CA update by means of vector and matrix ma-nipulations. The contribution analyses and documents the differences between ODE solutions and aggregated CA solutions, mainly investigating dependencies on initial values. And on the other hand, the contributions presents ‘similarities’ between ODE solutions and CA solutions by balancing spatial inhomogenities in the CA dy-namics using equally distributed populations.