Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows
Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 315-320
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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.
Mots-clés :
34C12, 34K25, Essentially strongly order-preserving semiflow, compactness, quasi-convergence
Yi, Taishan; Zou, Xingfu. Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows. Canadian mathematical bulletin, Tome 52 (2009) no. 2, pp. 315-320. doi: 10.4153/CMB-2009-034-7
@article{10_4153_CMB_2009_034_7,
author = {Yi, Taishan and Zou, Xingfu},
title = {Generic {Quasi-Convergence} for {Essentially} {Strongly} {Order-Preserving} {Semiflows}},
journal = {Canadian mathematical bulletin},
pages = {315--320},
year = {2009},
volume = {52},
number = {2},
doi = {10.4153/CMB-2009-034-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/}
}
TY - JOUR AU - Yi, Taishan AU - Zou, Xingfu TI - Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows JO - Canadian mathematical bulletin PY - 2009 SP - 315 EP - 320 VL - 52 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/ DO - 10.4153/CMB-2009-034-7 ID - 10_4153_CMB_2009_034_7 ER -
%0 Journal Article %A Yi, Taishan %A Zou, Xingfu %T Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows %J Canadian mathematical bulletin %D 2009 %P 315-320 %V 52 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2009-034-7/ %R 10.4153/CMB-2009-034-7 %F 10_4153_CMB_2009_034_7
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