Title	Robust permanence of polynomial dynamical systems
Creator	Brunner, Jim
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-08T17:08
Description	A “permanent” dynamical system is one whose positive solutions stay bounded away from zero and infinity. The permanence property has important applications in biochemistry, cell biology, and ecology. Inspired by reaction network theory, we define a class of polynomial dynamical systems called tropically endotactic. We show that these polynomial dynamical systems are permanent, irrespective to the values of (possibly time-dependent) parameters in these systems. These results generalize the permanence of 2D reversible and weakly reversible mass-action systems.
Extent	29 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Probability theory and stochastic processes; Mathematical biology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Wisconsin-Madison
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-12-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361539
URI	http://hdl.handle.net/2429/63829
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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