Global Stability of a SLIT TB Model with Staged Progression
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-04
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Because the latent period and the infectious period of tuberculosis (TB) are very long, it is not reasonable to consider the time as constant.
So this paper formulates a mathematical model that divides the latent period and the infectious period into n-stages.
For a general n-stage stage progression (SP) model with bilinear incidence, we analyze its dynamic behavior.
First, we give the basic reproduction number R0.
Moreover, if R0≤1, the disease-free equilibrium P0 is globally asymptotically stable and the disease always dies out.
If R0>1, the unique endemic equilibrium P∗ is globally asymptotically stable and the disease persists at the endemic equilibrium.
American Psychological Association (APA)
Xue, Yakui& Wang, Xiaohong. 2012. Global Stability of a SLIT TB Model with Staged Progression. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028936
Modern Language Association (MLA)
Xue, Yakui& Wang, Xiaohong. Global Stability of a SLIT TB Model with Staged Progression. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1028936
American Medical Association (AMA)
Xue, Yakui& Wang, Xiaohong. Global Stability of a SLIT TB Model with Staged Progression. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1028936
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1028936