University of Hull CSI

Technical Report CSI-0011

Zoonomic and Spatial Diffusion Effects and Limits in Epidemic Models on Networks of Networks

K. A. Hawick

Archived: 2015

Abstract

Many epidemic systems can not easily be analysed in terms of a simple network structure, spatial or otherwise. The contextual network for for susceptibility, infection, and recovery or removal may require a multiplex of networks or network of interaction networks. The corresponding increase in interaction complexity presents a problem for capturing behaviour in both mathematical models as well as numerical simulation models. We formulate a network of networks model for SIRS dynamical systems and investigate spatial diffusion as well as zoonomic cross species infective networks of interaction. We identify some limiting behaviours of such models and speculate on how this generate framework could be applied to real geographic and zoonomic disease containment scenarios.

Keywords: SIRS; epidemic; zoonomic interaction; spatial diffusion; endemic limit

Full Document Text: Not yet available.

Citation Information: BiBTeX database for CSI Notes.

BiBTeX reference:

@TechReport{CSI-0011,
        Title = {Zoonomic and Spatial Diffusion Effects and Limits in Epidemic Models on Networks of Networks},
        Author = {K. A. Hawick},
        Institution = {Computer Science, University of Hull},
        Year = {2015},
        Address = {Cottingham Road, Hull HU6 7RX, UK},
        Month = {November},
        Number = {CSI-0011},
        Type = {CSI},
        Keywords = {SIRS; epidemic; zoonomic interaction; spatial diffusion; endemic limit},
        Owner = {kahawick},
        Timestamp = {2016.11.07}
}


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