Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator

Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator

In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the...

Full description

Bibliographic Details
Main Author: Olumuyiwa James Peter
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/2791380
id doaj-8651c58827854e80ace6453f825502e3
record_format Article
spelling doaj-8651c58827854e80ace6453f825502e32020-11-25T03:44:47ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/27913802791380Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio OperatorOlumuyiwa James Peter0Department of Mathematics, University of Ilorin, Ilorin, Kwara State, NigeriaIn this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory. The initial approachable approximate solutions are derived for the proposed model by applying the iterative Laplace transform technique. Finally, numerical simulations are conducted for the analytical results to visualize the effect of various parameters that govern the dynamics of infection, and the results are presented using plots.http://dx.doi.org/10.1155/2020/2791380
collection DOAJ
language English
format Article
sources DOAJ
author Olumuyiwa James Peter
spellingShingle Olumuyiwa James Peter
Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
International Journal of Differential Equations
author_facet Olumuyiwa James Peter
author_sort Olumuyiwa James Peter
title Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
title_short Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
title_full Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
title_fullStr Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
title_full_unstemmed Transmission Dynamics of Fractional Order Brucellosis Model Using Caputo–Fabrizio Operator
title_sort transmission dynamics of fractional order brucellosis model using caputo–fabrizio operator
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2020-01-01
description In this paper, a noninteger order Brucellosis model is developed by employing the Caputo–Fabrizio noninteger order operator. The approach of noninteger order calculus is quite new for such a biological phenomenon. We establish the existence, uniqueness, and stability conditions for the model via the fixed-point theory. The initial approachable approximate solutions are derived for the proposed model by applying the iterative Laplace transform technique. Finally, numerical simulations are conducted for the analytical results to visualize the effect of various parameters that govern the dynamics of infection, and the results are presented using plots.
url http://dx.doi.org/10.1155/2020/2791380
work_keys_str_mv AT olumuyiwajamespeter transmissiondynamicsoffractionalorderbrucellosismodelusingcaputofabriziooperator
_version_ 1715127174395068416

Similar Items