TY - GEN
T1 - Mathematical modeling for control zika transmission
AU - Nugraha, Edwin Setiawan
AU - Naiborhu, Janson
AU - Nuraini, Nuning
AU - Ahmadin,
N1 - Funding Information:
This research is funded by Ministry of Research , Technology and Higher Education of the Republic of Indonesia.
Publisher Copyright:
© 2017 Author(s).
PY - 2017/11/22
Y1 - 2017/11/22
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85036671801&partnerID=8YFLogxK
U2 - 10.1063/1.5012172
DO - 10.1063/1.5012172
M3 - Conference contribution
AN - SCOPUS:85036671801
T3 - AIP Conference Proceedings
BT - Proceedings of the 13th IMT-GT International Conference on Mathematics, Statistics and their Applications, ICMSA 2017
A2 - Ibrahim, Haslinda
A2 - Aziz, Nazrina
A2 - Nawawi, Mohd Kamal Mohd
A2 - Rohni, Azizah Mohd
A2 - Zulkepli, Jafri
PB - American Institute of Physics Inc.
T2 - 13th IMT-GT International Conference on Mathematics, Statistics and their Applications, ICMSA 2017
Y2 - 4 December 2017 through 7 December 2017
ER -