Abstract and Applied Analysis

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

Qingyi Zhan, Xiangdong Xie, and Zhifang Zhang

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2009 (2009), Article ID 187021, 8 pages.

Dates
First available in Project Euclid: 16 March 2010

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1268745561

Digital Object Identifier
doi:10.1155/2009/187021

Mathematical Reviews number (MathSciNet)
MR2516003

Zentralblatt MATH identifier
1173.34331

Citation

Zhan, Qingyi; Xie, Xiangdong; Zhang, Zhifang. Stability Results for a Class of Differential Equation and Application in Medicine. Abstr. Appl. Anal. 2009 (2009), Article ID 187021, 8 pages. doi:10.1155/2009/187021. https://projecteuclid.org/euclid.aaa/1268745561


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