Stability Results for a Class of Differential Equation and Application in Medicine
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...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/187021 |
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| _version_ | 1849691160291835904 |
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| author | Qingyi Zhan Xiangdong Xie Zhifang Zhang |
| author_facet | Qingyi Zhan Xiangdong Xie Zhifang Zhang |
| author_sort | Qingyi Zhan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e2fbb2fe0a86452e8801f4a3dce2fb14 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e2fbb2fe0a86452e8801f4a3dce2fb142025-08-20T03:21:07ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/187021187021Stability Results for a Class of Differential Equation and Application in MedicineQingyi Zhan0Xiangdong Xie1Zhifang Zhang2College of Computer and Information Science, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, ChinaDepartment of Mathematics, Ningde Teachers College, Ningde, Fujian 352100, ChinaCollege of Public Health, Fujian Medical University, Fuzhou, Fujian 350004, ChinaA 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.http://dx.doi.org/10.1155/2009/187021 |
| spellingShingle | Qingyi Zhan Xiangdong Xie Zhifang Zhang Stability Results for a Class of Differential Equation and Application in Medicine Abstract and Applied Analysis |
| title | Stability Results for a Class of Differential Equation and Application in Medicine |
| title_full | Stability Results for a Class of Differential Equation and Application in Medicine |
| title_fullStr | Stability Results for a Class of Differential Equation and Application in Medicine |
| title_full_unstemmed | Stability Results for a Class of Differential Equation and Application in Medicine |
| title_short | Stability Results for a Class of Differential Equation and Application in Medicine |
| title_sort | stability results for a class of differential equation and application in medicine |
| url | http://dx.doi.org/10.1155/2009/187021 |
| work_keys_str_mv | AT qingyizhan stabilityresultsforaclassofdifferentialequationandapplicationinmedicine AT xiangdongxie stabilityresultsforaclassofdifferentialequationandapplicationinmedicine AT zhifangzhang stabilityresultsforaclassofdifferentialequationandapplicationinmedicine |