Mathematical modeling for control zika transmission

Edwin Setiawan Nugraha, Janson Naiborhu, Nuning Nuraini, Ahmadin

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

1 Citation (Scopus)

Abstract

After 70 years since the zika was identified in Uganda, zika is now documented in 62 countries. In general, people infected with this disease do not experience severe conditions, but for pregnant women can cause serious problems because the zika can spread to the fetus. One result, zika can cause abnormalities in the fetal brain called microcephaly. Control and prevention are very important to reduce the spread of this disease. Here, we discussed the problem of optimal control in the model of zika transmission associated with the use of insecticide-treated nets (ITN) and indoor residual spraying (IRS). Using the approach of optimal control theory, we completed the objective function so that the infected population and its control cost are minimum. Numerically using the Forward-Backward Sweep Method, we obtained the control design of ITN and IRS as a function of time. The results show that the use of both simultaneously is more effective in reducing the population of infection than the use of ITN alone or the IRS alone.

Original languageEnglish
Title of host publicationProceedings of the 13th IMT-GT International Conference on Mathematics, Statistics and their Applications, ICMSA 2017
EditorsHaslinda Ibrahim, Nazrina Aziz, Mohd Kamal Mohd Nawawi, Azizah Mohd Rohni, Jafri Zulkepli
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415959
DOIs
Publication statusPublished - 22 Nov 2017
Externally publishedYes
Event13th IMT-GT International Conference on Mathematics, Statistics and their Applications, ICMSA 2017 - Kedah, Malaysia
Duration: 4 Dec 20177 Dec 2017

Publication series

NameAIP Conference Proceedings
Volume1905
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference13th IMT-GT International Conference on Mathematics, Statistics and their Applications, ICMSA 2017
Country/TerritoryMalaysia
CityKedah
Period4/12/177/12/17

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