Application of Optimal Control to the Epidemiology of Dengue Fever Transmission - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.1, January 2019

Journal of Applied Mathematics and Physics

Volume 7, Issue 1 (January 2019)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Application of Optimal Control to the Epidemiology of Dengue Fever Transmission ()

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Download as PDF (Size: 3846KB) PP. 148-165

DOI: 10.4236/jamp.2019.71013 700 Downloads 942 Views Citations

Author(s)

Okey Oseloka Onyejekwe^*, Ayalnesh Tigabie, Biruk Ambachew, Abebe Alemu

Affiliation(s)

Computational Mechanics and Dynamical Systems Group, Computational Science Program, Addis Ababa University, Arat Kilo Campus, Addis Ababa, Ethiopia.

ABSTRACT

In this paper, we build an epidemiological model to investigate the dynamics of the spread of dengue fever in human population. We apply optimal control theory via the Pontryagins Minimum Principle together with the Runge-Kutta solution technique to a “simple” SEIRS disease model. Controls representing education and drug therapy treatment are incorporated to reduce the latently infected and actively infected individual populations. The overall thrust is the minimization of the spread of the disease in a population by adopting an optimization technique as a guideline.

KEYWORDS

Epidemiological Model, SEIRS, Dengue Fever, Optimal Control, Pontryagins Minimum Principle, Fourth-Order Runge-Kutta

Share and Cite:

Onyejekwe, O. , Tigabie, A. , Ambachew, B. and Alemu, A. (2019) Application of Optimal Control to the Epidemiology of Dengue Fever Transmission. Journal of Applied Mathematics and Physics, 7, 148-165. doi: 10.4236/jamp.2019.71013.

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