A fractional order dengue fever model in the context of protected travelers

E. Bonyah; M. L. Juga; C. W. Chukwu; Fatmawati

doi:10.1016/j.aej.2021.04.070

A fractional order dengue fever model in the context of protected travelers

E. Bonyah
, M. L. Juga
, C. W. Chukwu
, Fatmawati

Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development
University of Johannesburg
Universitas Airlangga

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

Climate changes are affecting the control of many vector-borne diseases, particularly in Africa. In this work, a dengue fever model with protected travelers is formulated. Caputo-Fabrizio operator is utilized to obtain some qualitative information about the disease. The basic properties and the reproduction number are studied. The two steady states are determined and the local stability of the states are found to be asymptotically stable. The fixed point theory is used to obtain the existence and uniqueness of solutions of the model. The Adams–Bashforth scheme is employed to solve an approximate solution of the fractional dengue model. The numerical simulation suggests that the fractional-order affects the dynamics of dengue fever.

Original language	English
Pages (from-to)	927-936
Number of pages	10
Journal	Alexandria Engineering Journal
Volume	61
Issue number	1
DOIs	https://doi.org/10.1016/j.aej.2021.04.070
State	Published - Jun 5 2021
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Scopus Subject Areas

General Engineering

Keywords

Caputo-Fabrizio
Dengue
Existence and uniqueness
Exponential decay
Fixed point theory

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10.1016/j.aej.2021.04.070

Cite this

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title = "A fractional order dengue fever model in the context of protected travelers",

abstract = "Climate changes are affecting the control of many vector-borne diseases, particularly in Africa. In this work, a dengue fever model with protected travelers is formulated. Caputo-Fabrizio operator is utilized to obtain some qualitative information about the disease. The basic properties and the reproduction number are studied. The two steady states are determined and the local stability of the states are found to be asymptotically stable. The fixed point theory is used to obtain the existence and uniqueness of solutions of the model. The Adams–Bashforth scheme is employed to solve an approximate solution of the fractional dengue model. The numerical simulation suggests that the fractional-order affects the dynamics of dengue fever.",

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AU - Bonyah, E.

AU - Juga, M. L.

AU - Chukwu, C. W.

AU - Fatmawati,

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Y1 - 2021/6/5

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AB - Climate changes are affecting the control of many vector-borne diseases, particularly in Africa. In this work, a dengue fever model with protected travelers is formulated. Caputo-Fabrizio operator is utilized to obtain some qualitative information about the disease. The basic properties and the reproduction number are studied. The two steady states are determined and the local stability of the states are found to be asymptotically stable. The fixed point theory is used to obtain the existence and uniqueness of solutions of the model. The Adams–Bashforth scheme is employed to solve an approximate solution of the fractional dengue model. The numerical simulation suggests that the fractional-order affects the dynamics of dengue fever.

KW - Caputo-Fabrizio

KW - Dengue

KW - Existence and uniqueness

KW - Exponential decay

KW - Fixed point theory

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M3 - Article

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JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 1

ER -

A fractional order dengue fever model in the context of protected travelers

Abstract

UN SDGs

Scopus Subject Areas

Keywords

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