Abstract
A mathematical model that describes the transmission dynamics of bovine tuberculosis (BTB) in both buffalo and cattle populations is proposed. The model incorporates cross-infection and contaminated environment transmission routes. A full analysis of the model is undertaken. The reproduction number of the entire model is comprised of cross-infection and contaminated parameters. This underscores the importance of including both cross-infection and contaminated environment transmission routes. Crucially our simulations suggest that the disease has a more devastating effect on cattle populations than on buffalo populations when all transmission routes are involved. This has important implications for agriculture and tourism.
Original language | English |
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Pages (from-to) | 47-58 |
Number of pages | 12 |
Journal | Mathematical Biosciences |
Volume | 277 |
DOIs | |
Publication status | Published - 1 Jul 2016 |
Externally published | Yes |
Keywords
- Buffalo
- Cattle
- Cross-infection
- Environment
- Mathematical modelling
- Mycobacterium bovis
ASJC Scopus subject areas
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry,Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics