| dc.creator |
Kimaro, Magreth A. |
|
| dc.creator |
Massawe, Estomih S. |
|
| dc.creator |
Makinde, Oluwole D. |
|
| dc.date |
2016-06-26T17:12:22Z |
|
| dc.date |
2016-06-26T17:12:22Z |
|
| dc.date |
2015 |
|
| dc.date.accessioned |
2018-03-27T08:57:54Z |
|
| dc.date.available |
2018-03-27T08:57:54Z |
|
| dc.identifier |
Kimaro, M.A., Massawe, E.S. and Makinde, D.O., 2015. Modelling the Optimal Control of Transmission Dynamics of Mycobacterium ulceran Infection. Open Journal of Epidemiology, 5(04), p.229. |
|
| dc.identifier |
http://hdl.handle.net/20.500.11810/2705 |
|
| dc.identifier |
10.4236/ojepi.2015.54027 |
|
| dc.identifier.uri |
http://hdl.handle.net/20.500.11810/2705 |
|
| dc.description |
This paper examines optimal control of transmission dynamics of Mycobacterium ulceran (MU)
infection. A nonlinear mathematical model for the problem is proposed and analysed qualitatively
using the stability theory of the differential equations, optimal control and computer simulation.
The basic reproduction number of the reduced model system is obtained by using the next generation
operator method. It is found that by using Ruth Hurwitz criteria, the disease free equilibrium
point is locally asymptotically stable and using centre manifold theory, the model shows the
transcritical (forward) bifurcation. Optimal control is applied to the model seeking to minimize
the transmission dynamics of MU infection on human and water-bugs. Pontryagin’s maximum
principle is used to characterize the optimal levels of the controls. The results of optimality are
solved numerically using MATLAB software and the results show that optimal combination of two
controls (environmental and health education for prevention) and (water and environmental purification)
minimizes the MU infection in the population. |
|
| dc.language |
en |
|
| dc.publisher |
Scientific Research |
|
| dc.subject |
MU |
|
| dc.subject |
Optimal Control |
|
| dc.subject |
Stability |
|
| dc.subject |
Pontryagin’s Maximum Principle |
|
| dc.subject |
Reproduction Number |
|
| dc.title |
Modelling the Optimal Control of Transmission Dynamics of Mycobacterium ulceran Infection |
|
| dc.type |
Journal Article, Peer Reviewed |
|