TITLE:
Application of Optimal Control to the Epidemiology of Dengue Fever Transmission
AUTHORS:
Okey Oseloka Onyejekwe, Ayalnesh Tigabie, Biruk Ambachew, Abebe Alemu
KEYWORDS:
Epidemiological Model, SEIRS, Dengue Fever, Optimal Control, Pontryagins Minimum Principle, Fourth-Order Runge-Kutta
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.1,
January
21,
2019
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.