A Note on Fractional-Order Model for Cholera Disease Transmission with Control Strategies
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Date
2021-12-29
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Mbeya University of Science and Technology
Abstract
In this paper, we formulated and analyzed a fractional-order model for cholera disease transmission that
consists of human population and surrounding environment. Three control strategies namely: health education
campaigns, hygiene practices, and treatment of infected individuals are investigated. We divided the human pop-
ulation into three sub-classes namely: Susceptible, infected and recovered classes. The main assumptions on the
disease transmission were that susceptible humans acquire the disease through contact with either infected humans
or directly from environment. Mathematical analysis of the model was carried out and the threshold quantity R0
which determine the existence of the disease in the population was determined. The model analysis showed that
the disease exist in the population whenever R0 > 1 and dies wherever R0 ≤ 1. It was also noted that both the
disease-free and endemic equilibria are globally stable. Further more, we performed the numerical simulations of
the model and the results showed that the order of derivatives have the influence on spread of cholera disease in
the population. It was also noted that both the aforementioned control strategies have the potential to minimize the
spread of cholera in the community.
Description
This Journal article was published by Mbeya University of Science and Technology in 2021