Optimal control of diarrhea transmission in a flood evacuation zone

N. Erwina, Dipo Aldila, E. Soewono

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Evacuation of residents and diarrhea disease outbreak in evacuation zone have become serious problem that frequently happened during flood periods. Limited clean water supply and infrastructure in evacuation zone contribute to a critical spread of diarrhea. Transmission of diarrhea disease can be reduced by controlling clean water supply and treating diarrhea patients properly. These treatments require significant amount of budget, which may not be fulfilled in the fields. In his paper, transmission of diarrhea disease in evacuation zone using SIRS model is presented as control optimum problem with clean water supply and rate of treated patients as input controls. Existence and stability of equilibrium points and sensitivity analysis are investigated analytically for constant input controls. Optimum clean water supply and rate of treatment are found using optimum control technique. Optimal results for transmission of diarrhea and the corresponding controls during the period of observation are simulated numerically. The optimum result shows that transmission of diarrhea disease can be controlled with proper combination of water supply and rate of treatment within allowable budget.

Original languageEnglish
Title of host publication4th International Conference on Mathematics and Natural Sciences, ICMNS 2012
Subtitle of host publicationScience for Health, Food and Sustainable Energy
PublisherAmerican Institute of Physics Inc.
Pages476-479
Number of pages4
ISBN (Print)9780735412217
DOIs
Publication statusPublished - 1 Jan 2014
Event4th International Conference on Mathematics and Natural Sciences: Science for Health, Food and Sustainable Energy, ICMNS 2012 - Bandung, Indonesia
Duration: 8 Nov 20129 Nov 2012

Publication series

NameAIP Conference Proceedings
Volume1589
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference4th International Conference on Mathematics and Natural Sciences: Science for Health, Food and Sustainable Energy, ICMNS 2012
Country/TerritoryIndonesia
CityBandung
Period8/11/129/11/12

Keywords

  • optimal control
  • SIRS model
  • transmission of diarrhea

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