Publication:
Modelling of spatial infection spread through heterogeneous population: from lattice to partial differential equation models

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dc.contributor.authorVaziry, Arvin
dc.contributor.authorKolokolnikov, T.
dc.contributor.authorKevrekidis, P. G.
dc.date2023-11-13T15:14:33.000
dc.date.accessioned2024-04-26T18:40:02Z
dc.date.available2023-11-13T00:00:00Z
dc.date.issued2022-01-01
dc.description.abstractWe present a simple model for the spread of an infection that incorporates spatial variability in population density. Starting from first-principle considerations, we explore how a novel partial differential equation with state-dependent diffusion can be obtained. This model exhibits higher infection rates in the areas of higher population density—a feature that we argue to be consistent with epidemiological observations. The model also exhibits an infection wave, the speed of which varies with population density. In addition, we demonstrate the possibility that an infection can ‘jump’ (i.e. tunnel) across areas of low population density towards areas of high population density. We briefly touch upon the data reported for coronavirus spread in the Canadian province of Nova Scotia as a case example with a number of qualitatively similar features as our model. Lastly, we propose a number of generalizations of the model towards future studies.
dc.identifier.doihttps://doi.org/10.1098/rsos.220064
dc.identifier.urihttps://hdl.handle.net/20.500.14394/34407
dc.relation.ispartofRoyal Society Open Science
dc.relation.urlhttps://scholarworks.umass.edu/cgi/viewcontent.cgi?article=2346&context=math_faculty_pubs&unstamped=1
dc.rightsUMass Amherst Open Access Policy
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.source.issue10
dc.source.issue9
dc.source.statuspublished
dc.subjectepidemic spread
dc.subjectdisease modelling
dc.subjectCOVID
dc.titleModelling of spatial infection spread through heterogeneous population: from lattice to partial differential equation models
dc.typearticle
dc.typearticle
digcom.contributor.authorVaziry, Arvin
digcom.contributor.authorKolokolnikov, T.
digcom.contributor.authorKevrekidis, P. G.
digcom.date.embargo2023-11-13T00:00:00-08:00
digcom.identifiermath_faculty_pubs/1346
digcom.identifier.contextkey36290200
digcom.identifier.submissionpathmath_faculty_pubs/1346
dspace.entity.typePublication
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