Modelling the role of multi-transmission routes in the epidemiology of bovine tuberculosis in cattle and buffalo populations.
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.
University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville 3209, South Africa. Electronic address: phepa05@gmail.com.
Patrick B
PB
Phepa
University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville 3209, South Africa. Electronic address: Chirovef@ukzn.ac.za.
Faraimunashe
F
Chirove
University of KwaZulu-Natal, School of Mathematics, Statistics and Computer Science, Private Bag X01, Scottsville 3209, South Africa. Electronic address: GOVINDER@ukzn.ac.za.
Keshlan S
KS
Govinder
D000818:Animals; D002020:Buffaloes; D002417:Cattle; D003428:Cross Infection / Q000635:transmission*; D008962:Models, Theoretical; D014380:Tuberculosis, Bovine / Q000635:transmission*
Buffalo; Cattle; Cross-infection; Environment; Mathematical modelling; Mycobacterium bovis