Open AccessStability Results for a Class of Differential Equation and Application in Medicine
Author(s) -
Qingyi Zhan,
Xiangdong Xie,
Zhifang Zhang
Publication year - 2009
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2009/187021
Subject(s) - chemostat , mathematics , stability (learning theory) , class (philosophy) , exponential stability , function (biology) , differential equation , control theory (sociology) , mathematical analysis , control (management) , computer science , biology , genetics , physics , nonlinear system , quantum mechanics , machine learning , artificial intelligence , evolutionary biology , bacteria
A Chemostat system incorporating hepatocellular carcinomasis discussed. The model generalizes the classical Chemostat model, and it assumes that the Chemostat is an increasing function of the concentration. Theasymptotic behavior of solutions is determined. Sufficient conditions for thelocal and global asymptotic stability of equilibrium and numerical simulationare obtained, which is used to select the disease control tactics
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