Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838105 | Nonlinear Analysis: Real World Applications | 2010 | 11 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
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Engineering (General)
Authors
Wang Shiyun, Feng Enmin,