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A HYBRID MODEL FOR STUDYING SPATIAL ASPECTS OF INFECTIOUS DISEASES

Part of: Topological dynamics

Published online by Cambridge University Press:  07 February 2013

BENJAMIN J. BINDER ,
JOSHUA V. ROSS  and
MATTHEW J. SIMPSON
BENJAMIN J. BINDER*
Affiliation:
School of Mathematical Sciences, University of Adelaide, South Australia 5005, Australia
JOSHUA V. ROSS*
Affiliation:
School of Mathematical Sciences, University of Adelaide, South Australia 5005, Australia
MATTHEW J. SIMPSON*
Affiliation:
Mathematical Sciences School, Queensland University of Technology, Brisbane, Queensland 4001, Australia
*
✉benjamin.binder@adelaide.edu.au
✉joshua.ross@adelaide.edu.au
✉matthew.simpson@qut.edu.au
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Abstract

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We consider a hybrid model, created by coupling a continuum and an agent-based model of infectious disease. The framework of the hybrid model provides a mechanism to study the spread of infection at both the individual and population levels. This approach captures the stochastic spatial heterogeneity at the individual level, which is directly related to deterministic population level properties. This facilitates the study of spatial aspects of the epidemic process. A spatial analysis, involving counting the number of infectious agents in equally sized bins, reveals when the spatial domain is nonhomogeneous.

Keywords

agent-based modelcontinuum modelinfectious diseasesspatial heterogeneity

MSC classification

Secondary: 37B15: Cellular automata 92D30: Epidemiology
Type
Research Article
Information
The ANZIAM Journal , Volume 54 , Issue 1-2 , October 2012 , pp. 37 - 49
Copyright
Copyright ©2013 Australian Mathematical Society 

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