2016
DOI: 10.3390/e18020040
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Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative

Abstract: Abstract:Information theory is used in many branches of science and technology. For instance, to inform a set of human beings living in a particular region about the fatality of a disease, one makes use of existing information and then converts it into a mathematical equation for prediction. In this work, a model of the well-known river blindness disease is created via the Caputo and beta derivatives. A partial study of stability analysis was presented. The extended system describing the spread of this disease… Show more

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Cited by 128 publications
(35 citation statements)
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“…Besides, FLAIR imaging [52] and the computed tomography (CT) technique will be embedded to increase the classification performance. Another research direction is to use the fractional derivative [53] to extract hearing loss-related features. …”
Section: Discussionmentioning
confidence: 99%
“…Besides, FLAIR imaging [52] and the computed tomography (CT) technique will be embedded to increase the classification performance. Another research direction is to use the fractional derivative [53] to extract hearing loss-related features. …”
Section: Discussionmentioning
confidence: 99%
“…In the work of Mtisi et al, the authors investigated a deterministic model for TB and malaria, whereas in the work of Mutua et al, a co‐infection model for malaria and typhoid fever was also examined. Besides these, many mathematical models were formulated to investigate the dynamics of infectious diseases with control …”
Section: Introductionmentioning
confidence: 99%
“…Besides these, many mathematical models were formulated to investigate the dynamics of infectious diseases with control. [25][26][27][28][29][30] In this study, we construct and analyze a mathematical model for Zika-DF co-infection so that we can understand the effect of controlling one disease will have on the other. The time optimal control is used in order to determine the most efficient and effective strategies to manage the two diseases.…”
mentioning
confidence: 99%
“…Atangana and Alkahtani modeled the spread of rubella disease via beta‐derivative. In Atangana and Alqahtani, spread of onchocerciasis disease is modeled. The beta‐derivative also used for modeling the spread of deathly infection disease called Ebola .…”
Section: Introductionmentioning
confidence: 99%