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

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Mojeeb AL-Rahman EL-Nor Osman
Mojeeb AL-Rahman EL-Nor Osman
2
Cuihong Yang
Cuihong Yang
3
Isaac Kwasi Adu
Isaac Kwasi Adu

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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.

27 Cites in Articles

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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.

Mojeeb AL-Rahman EL-Nor Osman. 2019. \u201cMathematical model of Malaria Transmission with Three Optimal Controls Applied to Democratic Republic of the Congo\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 19 (GJSFR Volume 19 Issue F1): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 00A71
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v1.2

Issue date

April 19, 2019

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English

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

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

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