Abstract and Applied Analysis
Volume 2009 (2009), Article ID 187021, 8 pages
doi:10.1155/2009/187021
Research Article

Stability Results for a Class of Differential Equation and Application in Medicine

Qingyi Zhan,1 Xiangdong Xie,2 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

Received 8 January 2009; Accepted 14 March 2009

Academic Editor: Yong Zhou

Copyright © 2009 Qingyi Zhan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.