Coupling equation based models and agent-based models: example of a multi-strains and switch SIR toy model

Abstract

Modeling in ecology or epidemiology generally opposes two classes of models, Equation Based Models and Agent Based Models. Mathematical models allow predicting the long-term dynamics of the studied systems. However, the variability between individuals is difficult to represent, what makes these more suitable models for large and homogeneous populations. Multi-agent models allow representing the attributes and behavior of each individual and therefore provide a greater level of detail. In return, these systems are more difficult to analyze.These approaches have often been compared, but rarely used simultaneously. We propose a hybrid approach to couple equations models and agent-based models, as well as its implementation on the modeling platform Gama [8]. We focus on the representation of a classical theoretical epidemiological model (SIR model) and we illustrate the construction of a class of models based on it.

Keywords

• Equation-based model
• agent-based model
• coupling framework
• simulation platform
• epidemiology