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The Brouwer Fixed Point Theorem applied to rumour transmission

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dc.contributor.author Basener, William en_US
dc.contributor.author Ross, David en_US
dc.contributor.author Brooks, Bernard en_US
dc.date.accessioned 2007-09-13T01:55:10Z en_US
dc.date.available 2007-09-13T01:55:10Z en_US
dc.date.issued 2006-08 en_US
dc.identifier.citation Applied Mathematics Letters 19N8 (2006) 841-842 en_US
dc.identifier.issn 0893-9659 en_US
dc.identifier.uri http://hdl.handle.net/1850/4685 en_US
dc.description RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
dc.description.abstract The results of the Brouwer Fixed Point Theorem are extended to continuous dynamical systems. It is shown that if there exists a compact convex positive invariant set for the dynamical system, then this convex positive invariant set contains an equilibrium point. The existence of an interior equilibrium is shown for a general model of rumour transmission. en_US
dc.description.sponsorship This work is in final form and no version of it will be submitted for publication elsewhere. This material is based upon work supported by the National Science Foundation under Award No. BCS-0527371. en_US
dc.language.iso en_US en_US
dc.publisher Elsevier Science B.V., Amsterdam en_US
dc.relation.ispartofseries vol. 19 en_US
dc.relation.ispartofseries no. 8 en_US
dc.subject Compact set en_US
dc.subject Dynamical system en_US
dc.subject Equilibrium en_US
dc.subject Flow en_US
dc.subject Rumor en_US
dc.title The Brouwer Fixed Point Theorem applied to rumour transmission en_US
dc.type Article en_US
dc.identifier.url http://dx.doi.org/10.1016/j.aml.2006.02.007

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