Stability results for a class of differential equation and application in medicine
type: Item
instance of: scholarly article
title: Stability results for a class of differential equation and application in medicine
zbMATH Open document ID: 1173.34331
DOI: 10.1155/2009/187021
author: Qingyi Zhan
author: Xiangdong Xie
author: Zhifang Zhang
published in: Abstract and Applied Analysis
publication date: 2009-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/55971
review text: Summary: 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.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 5574401
Wikidata QID: Q58646548
MaRDI profile type: Publication
OpenAlex ID: W2013925937
cites work: Q4455294
cites work: Hopf bifurcation and uniqueness of limit cycle for a class of quartic system
cites work: Global Stability for a Class of Predator-Prey Systems
cites work: Q5475211
cites work: Q5489954
cites work: The permanence and global attractivity of Lotka--Volterra competition system with feedback controls
cites work: Multiple limit cycles in the chemostat with variable yield
description: scientific article; zbMATH DE number 5574401