The Brouwer Fixed Point Theorem applied to rumour transmission

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Title: The Brouwer Fixed Point Theorem applied to rumour transmission
Author: Basener, William; Ross, David; Brooks, Bernard
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.
Description: RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
Record URI: http://hdl.handle.net/1850/4685
Publishers URL: http://dx.doi.org/10.1016/j.aml.2006.02.007
Date: 2006-08

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