An impulse fumigation scenario to control dengue spreads

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Abstract

Dengue fever is a disease caused by the bite of female Aedes aegypti mosquito which is infected by one of the four dengue viruses, namely DEN-1, DEN-2, DEN-3 or DEN-4. The disease has become a major priority of the WHO in recent years. Many efforts can be made to prevent dengue disease spreads. One of the efforts is to use fumigation to reduce the adult mosquito population. Unfortunately, fumigation intervention has many challenges. One of them is the budget limitation. To accomodate this problem, the optimal control theory will be implemented into the model of dengue disease spreads with fumigation intervention as the control variable. The purpose of this optimal control is to reduce the number of infected individuals and minimize the intervention cost. Characteristics of the optimal control is obtained by applying the Pontryagin principle. Furthermore, the optimal system is solved numerically by the Runge-Kutta method and the Gradient Descent method for the convergence criteria. It should be highlighted that the intervention (optimal control result) will be characterized as an impuls function to mimic the possibility of several strategies that might be implemented in the field.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
EditorsRatna Yuniati, Terry Mart, Ivandini T. Anggraningrum, Djoko Triyono, Kiki A. Sugeng
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417410
DOIs
Publication statusPublished - 22 Oct 2018
Event3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 - Bali, Indonesia
Duration: 26 Jul 201727 Jul 2017

Publication series

NameAIP Conference Proceedings
Volume2023
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
CountryIndonesia
CityBali
Period26/07/1727/07/17

Keywords

  • Pontryagin principle
  • dengue fever
  • gradient descent method
  • runge-kutta method

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