Dynamical and Optimal Control Analysis of a Seasonal Trypanosoma Brucei Rhodesiense Model
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Date
2020-02-27
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Abstract
The 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.
Description
This Journal article was published by Mathematical Biosciences and Engineering in 2020.