Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Model
| dc.creator | Helikumi, Mlyashimbi | |
| dc.creator | Kgosimore, Moatlhodi | |
| dc.creator | Kuznetsov, Dmitry | |
| dc.creator | Mushayabasa, Steady | |
| dc.date | 2020-03-03T10:49:58Z | |
| dc.date | 2020-03-03T10:49:58Z | |
| dc.date | 2019-10-14 | |
| dc.date.accessioned | 2022-10-25T09:15:56Z | |
| dc.date.available | 2022-10-25T09:15:56Z | |
| dc.description | This research article published by MDPI | |
| dc.description | In this paper, a mathematical model for the transmission dynamics of Trypanosoma brucei rhodesiense that incorporates three species—namely, human, animal and vector—is formulated and analyzed. Two controls representing awareness campaigns and insecticide use are investigated in order to minimize the number of infected hosts in the population and the cost of implementation. Qualitative analysis of the model showed that it exhibited backward bifurcation generated by awareness campaigns. From the optimal control analysis we observed that optimal awareness and insecticide use could lead to effective control of the disease even when they were implemented at low intensities. In addition, it was noted that insecticide control had a greater impact on minimizing the spread of the disease compared to awareness campaigns | |
| dc.format | application/pdf | |
| dc.identifier | https://doi.org/10.3390/math7100971 | |
| dc.identifier | http://dspace.nm-aist.ac.tz/handle/123456789/589 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/94701 | |
| dc.language | en | |
| dc.publisher | MDPI | |
| dc.subject | human African trypanosomiasis | |
| dc.subject | mathematical model | |
| dc.subject | awareness programs | |
| dc.subject | optimal control theory | |
| dc.title | Backward Bifurcation and Optimal Control Analysis of a Trypanosoma brucei rhodesiense Model | |
| dc.type | Article |