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Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows

Published online by Cambridge University Press:  20 November 2018

Taishan Yi  and
Xingfu Zou
Taishan Yi
Affiliation:
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. China e-mail: yitaishan76@yahoo.com
Xingfu Zou
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada e-mail: xzou@uwo.ca
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Abstract

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By employing the limit set dichotomy for essentially strongly order-preserving semiflows and the assumption that limit sets have infima and suprema in the state space, we prove a generic quasi-convergence principle implying the existence of an open and dense set of stable quasi-convergent points. We also apply this generic quasi-convergence principle to a model for biochemical feedback in protein synthesis and obtain some results about the model which are of theoretical and realistic significance.

Keywords

34C1234K25Essentially strongly order-preserving semiflowcompactnessquasi-convergence
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 2 , 01 June 2009 , pp. 315 - 320
Copyright
Copyright © Canadian Mathematical Society 2009

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