Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows

http://dx.doi.org/10.4153/CMB-2009-034-7
Canad. Math. Bull. 52(2009), 315-320

  Published:2009-06-01
 Printed: Jun 2009

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.