A hybrid model for studying spatial aspects of infectious diseases

Ben Binder, Joshua Ross, Matthew Simpson

Abstract


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.

doi:10.1017/S1446181112000296

Keywords


agent-based model, continuum model, infectious diseases, spatial heterogeneity



DOI: http://dx.doi.org/10.21914/anziamj.v54i0.5648



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ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.