Abstract and Applied Analysis
Volume 2009 (2009), Article ID 187021, 8 pages
doi:10.1155/2009/187021
Stability results for a class of differential equation and application in medicine
Qingyi Zhan1
, Xiangdong Xie2
and Zhifang Zhang3
1College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China
2Department of Mathematics, Ningde Teachers College, Ningde, Fujian 352100, China
3College of Public Health, Fujian Medical University, Fuzhou, Fujian 350004, China
Abstract
A $Chemostat$ system incorporating hepatocellular carcinomas is discussed. The model generalizes the classical $Chemostat$ model, and it assumes that the $Chemostat$ is an increasing function of the concentration. The asymptotic behavior of solutions is determined. Sufficient conditions for the local and global asymptotic stability of equilibrium and numerical simulation are obtained, which is used to select the disease control tactics.