Mathematical model of Malaria Transmission with Three Optimal Controls Applied to Democratic Republic of the Congo

Mojeeb AL-Rahman EL-Nor Osman; Cuihong Yang; Isaac Kwasi Adu

Mathematical model of Malaria Transmission with Three Optimal Controls Applied to Democratic Republic of the Congo

Mojeeb AL-Rahman EL-Nor Osman *

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Cuihong Yang

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Isaac Kwasi Adu

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Mathematical model of Malaria Transmission with Three Optimal Controls Applied to Democratic Republic of the Congo

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Abstract

In this paper, we studied the effect of the specific incidence function for the appearance of backward bifurcation in malaria transmission model with standard incidence rate. The stability analysis of disease-free equilibrium (DFE) was investigated, the basic reproduction number R 0 , was obtained using the next generation matrix technique, the existence of the endemic equilibrium was also investigated and the existence of feasible region where the model is wellknown shows that the model exhibits the backward bifurcation phenomenon when R 0 < 1 and the global stability of the endemic equilibrium has been proofed. Further-more, we applied the model to exiting data of the Democratic Republic of the Congo (DRC) to fit some parameters.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Mojeeb AL-Rahman EL-Nor Osman, Cuihong Yang, Isaac Kwasi Adu. 2019. "Mathematical model of Malaria Transmission with Three Optimal Controls Applied to Democratic Republic of the Congo". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F1).

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GJSFR Volume 19 Issue F1

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification MSC 2010: 00A71

Submission ReceivedNovember 24, 2018
Peer Review Double Blind
Handling Editor
Accepted December 22, 2018
Published January 1, 2019

Version of record

v1.2

Issue date

April 19, 2019

Language

English

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Article Matrices

Total Score: 177

Country: China

Subject: Global Journal of Science Frontier Research

Authors: Mojeeb AL-Rahman EL-Nor Osman, Cuihong Yang, Isaac Kwasi Adu (PhD/Dr. count: 0)

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Publish Date: 2019 01, Tue

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