University of Hull CSI

Technical Report CSI-0003

Role of Connectivity and Clusters in Spatial Cyclic SIRS Epidemic Dynamics

K. A. Hawick

Archived: 2014


Understanding infection propagation and sustain-ability behaviours of epidemics in spatially distributed populations remain difficult problems. We use an agent-based simulation to explore the roles of geometrical agent connectivity and component clusters in the Susceptible, Infected, Recovered; Susceptible cyclic SIRS model. We study the distribution of sizes of infected clusters on simple nearest neighbour connected systems as well as other connectivity geometries including a Moore neighbourhood and a radial proximity connectivity. We find that both recovery probability and neighbourhood connectivity size affect and shift the infection probability trends and lead to increased sustainability of a system wide epidemic. We discuss the implications for managing the health of large spatial populations, the statistics of large scale epidemics and the effect of more realistic system geometries.

Keywords: population health modelling; SIRS cyclic model; agent-based model

Full Document Text: PDF version.

Citation Information: BiBTeX database for CSI Notes.

BiBTeX reference:

        author = {K. A. Hawick},
        title = {Role of Connectivity and Clusters in Spatial Cyclic SIRS Epidemic
        booktitle = {Proc. IASTED International Conference on Health Informatics},
        year = {2014},
        pages = {1-8},
        address = {Gabarone, Botswana},
        month = {1-3 September},
        organization = {IASTED},
        keywords = {population health modelling; SIRS cyclic model; agent-based model},
        owner = {kahawick},
        timestamp = {2014.08.17},
        url = {}

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