Abstract
In this paper, the authors first show that if R 0 ≤ 1, the infection free steady state is globally attractive by using approaches different from those given by Min, et al.(2008). Then the authors prove that if R 0 > 1, the endemic steady state is also globally attractive. Finally, based on a patient's clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM are good in agreement with the clinical data.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1221-1230 |
| Number of pages | 10 |
| Journal | Journal of Systems Science and Complexity |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2010 |
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Keywords
- Basic infection reproduction number
- clinical data simulation
- equilibrium point
- global stability
- HBV infection
ASJC Scopus subject areas
- Information Systems
- Computer Science (miscellaneous)
Cite this
Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection. / Zheng, Yu; Min, Lequan; Ji, Yu; Su, Yongmei; Kuang, Yang.
In: Journal of Systems Science and Complexity, Vol. 23, No. 6, 2010, p. 1221-1230.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Global stability of endemic equilibrium point of basic virus infection model with application to HBV infection
AU - Zheng, Yu
AU - Min, Lequan
AU - Ji, Yu
AU - Su, Yongmei
AU - Kuang, Yang
PY - 2010
Y1 - 2010
N2 - In this paper, the authors first show that if R 0 ≤ 1, the infection free steady state is globally attractive by using approaches different from those given by Min, et al.(2008). Then the authors prove that if R 0 > 1, the endemic steady state is also globally attractive. Finally, based on a patient's clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM are good in agreement with the clinical data.
AB - In this paper, the authors first show that if R 0 ≤ 1, the infection free steady state is globally attractive by using approaches different from those given by Min, et al.(2008). Then the authors prove that if R 0 > 1, the endemic steady state is also globally attractive. Finally, based on a patient's clinical HBV DNA data of anti-HBV infection with drug lamivudine, the authors establish an ABVIM. The numerical simulations of the ABVIM are good in agreement with the clinical data.
KW - Basic infection reproduction number
KW - clinical data simulation
KW - equilibrium point
KW - global stability
KW - HBV infection
UR - http://www.scopus.com/inward/record.url?scp=78650383101&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650383101&partnerID=8YFLogxK
U2 - 10.1007/s11424-010-8467-0
DO - 10.1007/s11424-010-8467-0
M3 - Article
VL - 23
SP - 1221
EP - 1230
JO - Journal of Systems Science and Complexity
JF - Journal of Systems Science and Complexity
SN - 1009-6124
IS - 6
ER -