Generic Quasi-Convergence for Essentially Strongly Order-Preserving Semiflows

[摘要] By employing the limit setdichotomy for essentially strongly order-preserving semiflows andthe assumption that limit sets have infima and suprema in thestate space, we prove a generic quasi-convergence principleimplying the existence of an open and dense set of stablequasi-convergent points. We also apply this generic quasi-convergence principleto a model for biochemical feedback in proteinsynthesis and obtain some results about the model which are of theoreticaland realistic significance.

[学科分类] 数学（综合）

[关键词] Essentially strongly order-preserving semiflow;compactness;quasi-convergence