Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Volume 21, Issue 3, Pages 1009-1022Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdsb.2016.21.1009
Keywords
Tuberculosis; vaccination; treatment; basic reproduction number; global stability; Pontryagin's maximum principle
Categories
Funding
- National Natural Science Fund of China [11301320, 11371369, 11471201]
- Postdoctoral Fund of China [2013M532016]
- Postdoctoral Science Foundation in Shaanxi of China
- State Scholarship Fund of China [201407820120]
- International Development Research Centre in Canada
Ask authors/readers for more resources
We formulate a mathematical model to explore the impact of vaccination and treatment on the transmission dynamics of tuberculosis (TB). We develop a technique to prove that the basic reproduction number is the threshold of global stability of the disease-free and endemic equilibria. We then incorporate a control term and evaluate the cost of control strategies, and then perform an optimal control analysis by Pontryagin's maximum principle. Our numerical simulations suggest that the maximum vaccination strategy should be enforced regardless of its efficacy.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
