Dynamical and Optimal Control Analysis of a Seasonal Trypanosoma Brucei Rhodesiense Model

Simple item page
dc.contributor.authorHelikumi Mlyashimbi, Kgosimore Moatlhodi, Kuznetsov Dmitry and Mushayabasa Steady
dc.date.accessioned2024-03-21T08:21:05Z
dc.date.available2024-03-21T08:21:05Z
dc.date.issued2020-02-27
dc.descriptionThis Journal article was published by Mathematical Biosciences and Engineering in 2020.
dc.description.abstractThe effects of seasonal variations on the epidemiology of Trypanosoma brucei rhodesiense disease is well documented. In particular, seasonal variations alter vector development rates and behaviour, thereby influencing the transmission dynamics of the disease. In this paper, a mathematical model for Trypanosoma brucei rhodesiense disease that incorporates seasonal effects is presented. Owing to the importance of understanding the effective ways of managing the spread of the disease, the impact of time dependent intervention strategies has been investigated. Two controls representing human awareness campaigns and insecticides use have been incorporated into the model. The main goal of introducing these controls is to minimize the number of infected host population at low implementation costs. Although insecticides usage is associated with adverse effects to the environment, in this study we have observed that by totally neglecting insecticide use, effective disease management may present a formidable challenge. However, if human awareness is combined with low insecticide usage then the disease can be effectively managed.
dc.description.sponsorshipPrivate
dc.identifier.other10.3934/mbe.2020139
dc.identifier.other17(3): 2530–2556.
dc.identifier.urihttps://repository.must.ac.tz/handle/123456789/130
dc.language.isoen
dc.titleDynamical and Optimal Control Analysis of a Seasonal Trypanosoma Brucei Rhodesiense Model
dc.typeArticle
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
10.3934_mbe.2020139.pdf
Size:
1.07 MB
Format:
Adobe Portable Document Format
Download
Thumbnail Image
Name:
10.3934_mbe.2020139.pdf
Size:
1.07 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed to upon submission
Description:
Download
Collections
Journal Articles