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.
DOI : 10.4153/CMB-2009-034-7
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
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