Impact of Varying Community Networks on Disease Invasion

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dc.contributor.authorKirkland, Steve
dc.contributor.authorShuai, Zhisheng
dc.contributor.authorvan den Driessche, Pauline
dc.contributor.authorWang 王雪莹, Xueying
dc.date.accessioned2023-02-21T20:17:15Z
dc.date.available2023-02-21T20:17:15Z
dc.date.issued2021
dc.date.submitted2023-02-21T19:39:38Zen_US
dc.description.abstractWe consider the spread of an infectious disease in a heterogeneous environment, modelled as a network of patches. We focus on the invasibility of the disease, as quantifi ed by the corresponding value of an approximation to the network basic reproduction number, R0, and study how changes in the network structure affect the value of R0. We provide a detailed analysis for two model networks, a star and a path, and discuss the changes to the corresponding network structure that yield the largest decrease in R0. We develop both combinatorial and matrix analytic techniques, and illustrate our theoretical results by simulations with the exact R0.en_US
dc.identifier.doi10.1137/20M1328762
dc.identifier.urihttp://hdl.handle.net/1993/37177
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.rightsopen accessen_US
dc.subjectBasic reproduction numberen_US
dc.subjectMatrix tree theoremen_US
dc.subjectGroup inverseen_US
dc.titleImpact of Varying Community Networks on Disease Invasionen_US
dc.typepreprinten_US
local.author.affiliationFaculty of Science::Department of Mathematicsen_US
oaire.citation.endPage1189en_US
oaire.citation.startPage1166en_US
oaire.citation.titleSIAM Journal on Applied Mathematicsen_US
oaire.citation.volume81en_US
project.funder.identifierhttps://doi.org/10.13039/501100000038en_US
project.funder.nameNatural Sciences and Engineering Research Council of Canadaen_US
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