We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A Tuberculosis Model with Seasonality.
- Authors
Luju Liu; Xiao-Qiang Zhao; Yicang Zhou
- Abstract
The statistical data of tuberculosis (TB) cases show seasonal fluctuations in many countries. A TB model incorporating seasonality is developed and the basic reproduction ratio R0 is defined. It is shown that the disease-free equilibrium is globally asymptotically stable and the disease eventually disappears if R0 < 1, and there exists at least one positive periodic solution and the disease is uniformly persistent if R0 > 1. Numerical simulations indicate that there may be a unique positive periodic solution which is globally asymptotically stable if R0 > 1. Parameter values of the model are estimated according to demographic and epidemiological data in China. The simulation results are in good accordance with the seasonal variation of the reported cases of active TB in China.
- Subjects
TUBERCULOSIS; MYCOBACTERIUM tuberculosis; COMMUNICABLE diseases; MULTIDRUG-resistant tuberculosis; MEASLES; CHICKENPOX; MALARIA
- Publication
Bulletin of Mathematical Biology, 2010, Vol 72, Issue 4, p931
- ISSN
0092-8240
- Publication type
Article
- DOI
10.1007/s11538-009-9477-8