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论文类型：期刊论文
发表时间：2010-10-01
发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
收录刊物：SCIE、EI、Scopus
卷号：11
期号：5
页面范围：3501-3511
ISSN号：1468-1218
关键字：1,3-propanediol; Transport across cell membrane; Intracellular substances; Equilibrium solution; Stability
摘要：In this study, a new nonlinear mathematical model is developed to describe the conversion of glycerol to 1,3- propanediol by Klebsiella pneumoniae and the changes of concentrations of intracellular substances are taken into consideration. We consider the cases that glycerol passes the membrane by active transport and 1,3-propanediol passes the membrane by passive transport. We firstly study the solution's existence and uniqueness and prove that the solution is bounded in a positive quadrant. Secondly, we discuss the existence of equilibrium solutions and calculate them, dependent on some given steady accuracy by Newton's Method. Lastly, we analyze the asymptotical behavior and the global stability of the mathematical model. (C) 2009 Elsevier Ltd. All rights reserved.