Title
Modelling the Spread of River Blindness Disease via the Caputo Fractional Derivative and the Beta-derivative.
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 was solved via two analytical techniques: the Laplace perturbation and the homotopy decomposition methods. Summaries of the iteration methods used were provided to derive special solutions to the extended systems. Employing some theoretical parameters, we present some numerical simulations.
Year
DOI
Venue
2016
10.3390/e18020040
ENTROPY
Keywords
Field
DocType
river blindness disease,Caputo fractional derivative,beta-derivative,special solutions
Information theory,Mathematical optimization,Laplace transform,Fractional calculus,Mathematical equations,Homotopy,Blindness,Perturbation (astronomy),Derivative (finance),Mathematics
Journal
Volume
Issue
ISSN
18
2
1099-4300
Citations 
PageRank 
References 
2
0.50
1
Authors
2
Name
Order
Citations
PageRank
Abdon Atangana17112.66
Rubayyi T. Alqahtani220.50