Isolation strategy of a two-strain avian influenza model using optimal control

Mardlijah, Tika Desi Ariani, Tahiyatul Asfihani

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

Abstract

Avian influenza has killed many victims of both birds and humans. Most cases of avian influenza infection in humans have resulted transmission from poultry to humans. To prevent or minimize the patients of avian influenza can be done by pharmaceutical and non-pharmaceutical measures such as the use of masks, isolation, etc. We will be analyzed two strains of avian influenza models that focus on treatment of symptoms with insulation, then investigate the stability of the equilibrium point by using Routh-Hurwitz criteria. We also used optimal control to reduce the number of humans infected by making the isolation level as the control then proceeds optimal control will be simulated. The completion of optimal control used in this study is the Pontryagin Minimum Principle and for simulation we are using Runge Kutta method. The results obtained showed that the application of two control is more optimal compared to apply one control only.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationEmpowering Engineering using Mathematics
EditorsDieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415478
DOIs
Publication statusPublished - 1 Aug 2017
Event2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016 - Surabaya, Indonesia
Duration: 23 Nov 2016 → …

Publication series

NameAIP Conference Proceedings
Volume1867
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016
Country/TerritoryIndonesia
CitySurabaya
Period23/11/16 → …

Keywords

  • Avian Influenza
  • Optimal Control
  • Pontryagin Minimum Principal
  • Runge Kutta

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