Article citationsMore>>

Bernoulli, D. (1776) Essai d’une Nouvelle Analyse de la Moralite’ Causee Par La Petite Verole & des Avantage de L’ inoculation Pour La Prevenir. Mem. Math. Phys. Acad. Roy. Sci. Paris, 145.

has been cited by the following article:

• 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.