| 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 | |
