On the effects of the spatial distribution in an epidemic model based on cellular automaton

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dc.contributor.authorChaves L.L.
dc.contributor.authorMonteiro L.H.A.
dc.date.accessioned2024-03-13T00:48:50Z
dc.date.available2024-03-13T00:48:50Z
dc.date.issued2017
dc.description.abstract© 2017 Elsevier B.V.Several theoretical studies on disease propagation assume that individuals belonging to different groups regarding their health conditions are homogeneously distributed over the space. This is the well-known homogenous mixing assumption, which supports epidemiological models written in terms of ordinary differential or difference equations. Here, we consider that the host population infected by a contagious pathogen is composed by two groups with distinct traits and habits, which can be homogeneously mixed or not. The pathogen propagation is modeled by using an asynchronous probabilistic cellular automaton. Our main goal is to examine how a heterogeneous spatial distribution of these groups affects the endemic state. We noted that homogeneous distribution favors the occurrence of oscillations in the population composition. Surprisingly, we found out that the propagation dynamics of the heterogeneous distribution can also be described by a set of ordinary difference equations.
dc.description.firstpage144
dc.description.lastpage148
dc.description.volume31
dc.identifier.doi10.1016/j.ecocom.2017.06.010
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/35728
dc.relation.ispartofEcological Complexity
dc.rightsAcesso Restrito
dc.subject.otherlanguageAsynchronous cellular automaton
dc.subject.otherlanguageEpidemic
dc.subject.otherlanguageHomogenous mixing assumption
dc.subject.otherlanguagePeriod-doubling bifurcation
dc.subject.otherlanguageProbabilistic cellular automaton
dc.subject.otherlanguageSIS model
dc.titleOn the effects of the spatial distribution in an epidemic model based on cellular automaton
dc.typeCarta ao editor
local.scopus.citations2
local.scopus.eid2-s2.0-85021728273
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85021728273&origin=inward
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