| dc.creator |
Mwenyeheri, Thomas |
|
| dc.creator |
Shaban, Nyimvua |
|
| dc.creator |
Hove-Msekwa, Doroth |
|
| dc.creator |
Chibaya, Symon B. |
|
| dc.creator |
Ngadaya, Esther |
|
| dc.creator |
Mfinanga, Sayoki |
|
| dc.date |
2016-09-21T17:13:10Z |
|
| dc.date |
2016-09-21T17:13:10Z |
|
| dc.date |
2014 |
|
| dc.date.accessioned |
2018-03-27T08:58:17Z |
|
| dc.date.available |
2018-03-27T08:58:17Z |
|
| dc.identifier |
Mwenyeheri, T., Shaban, N., Hove-Msekwa, D., Chibaya, S.B., Ngadaya, E. and Mfinanga, S., 2014. Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium. Journal of Tuberculosis Research, 2(03), p.132. |
|
| dc.identifier |
http://hdl.handle.net/20.500.11810/4143 |
|
| dc.identifier |
10.4236/jtr.2014.23017 |
|
| dc.identifier.uri |
http://hdl.handle.net/20.500.11810/4143 |
|
| dc.description |
A mathematical model incorporating animal TB and Human TB transmission is formulated and
analysed in order to determine the role of animal TB and human TB in the overall TB transmission
and also, to determine the parameters which govern the transmission of the TB disease. The model
has five classes namely susceptible, exposed animal TB, and exposed human TB, infectious and
recovery. The model assumed that there are two classes for infected individuals, those who acquired
TB through animal and those who acquire TB from human. Qualitative results show that
the model has the disease-free equilibrium and at least one endemic equilibrium that is locally
asymptotically stable. The study includes numerical simulations as a way of supporting the analytical
results. Graphical results indicate that animal TB has major contribution on overall TB
transmission and the TB transmission can be reduced by ensuring intervention to both Animal TB
and Human TB. Furthermore the equations indicate that there is at least one endemic equilibrium
which translates that t animal and human have the contribution on TB transmission. This shows
that both animals and humans together with fast progressors have contribution on TB transmissions. |
|
| dc.language |
en |
|
| dc.publisher |
Scientific Research Publishing |
|
| dc.subject |
TB |
|
| dc.subject |
Mathematical Modeling |
|
| dc.subject |
Animal |
|
| dc.subject |
Human |
|
| dc.subject |
Diseases Free-Equilibrium |
|
| dc.subject |
Endemic Equilibrium |
|
| dc.title |
Formulation of Mathematical Model for TB Transmission in Zoonotic Areas with Existence of Endemic Equilibrium |
|
| dc.type |
Journal Article, Peer Reviewed |
|