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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/100553
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dc.contributor.authorRoss, J.V.-
dc.contributor.authorBinder, B.J.-
dc.date.issued2014-
dc.identifier.citationPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2014; 89(5):052709-1-052709-7-
dc.identifier.issn1539-3755-
dc.identifier.issn1550-2376-
dc.identifier.urihttp://hdl.handle.net/2440/100553-
dc.description.abstractA number of biological processes, such as invasive plant species and cell migration, are composed of two key mechanisms: motility and reproduction. Due to the spatially exclusive interacting behavior of these processes a cellular automata (CA) model is specified to simulate a one-dimensional invasion process. Three (independence, Poisson, and 2D-Markov chain) approximations are considered that attempt to capture the average behavior of the CA. We show that our 2D-Markov chain approximation accurately predicts the state of the CA for a wide range of motility and reproduction rates.-
dc.description.statementofresponsibilityJoshua V. Ross, and Benjamin J. Binder-
dc.language.isoen-
dc.publisherAmerican Physical Society-
dc.rights©2014 American Physical Society-
dc.source.urihttp://dx.doi.org/10.1103/physreve.89.052709-
dc.subjectMarkov Chains-
dc.subjectStochastic Processes-
dc.subjectCell Movement-
dc.subjectModels, Biological-
dc.subjectComputer Simulation-
dc.subjectIntroduced Species-
dc.titleApproximating spatially exclusive invasion processes-
dc.typeJournal article-
dc.identifier.doi10.1103/PhysRevE.89.052709-
dc.relation.granthttp://purl.org/au-research/grants/arc/DP110102893-
dc.relation.granthttp://purl.org/au-research/grants/nhmrc/1069757-
pubs.publication-statusPublished-
dc.identifier.orcidRoss, J.V. [0000-0002-9918-8167]-
dc.identifier.orcidBinder, B.J. [0000-0002-1812-6715]-
Appears in Collections:Aurora harvest 3
Mathematical Sciences publications

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