A Norm-based Comparison of Approaches in ARGESIM Benchmark C17R 'Modelling and Simulation of a SIR-type Epidemic with Cellular Automata and Ordinary Differential Equations' using MATLAB

Benchmark C17

Simulation Notes Europe SNE 27(1), 2017, 51-56
DOI: 10.11128/sne.27.bn17.10368

Abstract

This model comparison quantifies the difference between the results of a population model, using ordinary differential equations, and an inhomogeneous spatial approach, using a lattice gas cellular automaton. Both approaches describe a classical SIR-epidemic. The system definition of the epidemic, model specification and parameter identification were already formulated by Miksch et al [1]. For the sake of quantifyable comparisons a norm was introduced. The tasks from the revised ARGESIM Comparison 17 [1] were completed and the results were analysed and visualised. Every result was interpreted according to the knowledge of the modelling approaches and the setup of the experiment at hand.

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Definition

Simulation Notes Europe SNE 27(1), 2017, 51-56
DOI: 10.11128/sne.27.bn17.10368

Abstract

This model comparison quantifies the difference between the results of a population model, using ordinary differential equations, and an inhomogeneous spatial approach, using a lattice gas cellular automaton. Both approaches describe a classical SIR-epidemic. The system definition of the epidemic, model specification and parameter identification were already formulated by Miksch et al [1]. For the sake of quantifyable comparisons a norm was introduced. The tasks from the revised ARGESIM Comparison 17 [1] were completed and the results were analysed and visualised. Every result was interpreted according to the knowledge of the modelling approaches and the setup of the experiment at hand.

Solutions

Simulation Notes Europe SNE 27(1), 2017, 51-56
DOI: 10.11128/sne.27.bn17.10368

Abstract

This model comparison quantifies the difference between the results of a population model, using ordinary differential equations, and an inhomogeneous spatial approach, using a lattice gas cellular automaton. Both approaches describe a classical SIR-epidemic. The system definition of the epidemic, model specification and parameter identification were already formulated by Miksch et al [1]. For the sake of quantifyable comparisons a norm was introduced. The tasks from the revised ARGESIM Comparison 17 [1] were completed and the results were analysed and visualised. Every result was interpreted according to the knowledge of the modelling approaches and the setup of the experiment at hand.