Global qualitative analysis of new Monod type chemostat model with delayed growth response and pulsed input in polluted environment

作     者：孟新柱 赵秋兰 陈兰荪 

作者机构：College of ScienceShandong University of Science and Technology Department of Applied MathematicsDalian University of Technology 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2008年第29卷第1期

页      面：75-87页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundation of China(Nos.10471117 and 10771179) the Natural Science Foundation of Shandong University of Science and Technology(No.05g016) 

主　　题：permanence impulsive input chemostat model time delay for growth response extinction 

摘      要：In this paper, we consider a new Monod type chemostat model with time delay and impulsive input concentration of the nutrient in a polluted environment. Using the discrete dynamical system determined by the stroboscopic map, we obtain a ＂microorganism-extinction＂ periodic solution. Further, we establish the sufficient conditions for the global attractivity of the microorganism-extinction periodic solution. Using new computational techniques for impulsive and delayed differential equation, we prove that the system is permanent under appropriate conditions. Our results show that time delay is ＂profitless＂.