1. CMB 2009 (vol 52 pp. 315)
|Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows |
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:Essentially strongly order-preserving semiflow, compactness, quasi-convergence