Pangestuti, Nurani Dwi (2018) Analisis Dan Kontrol Optimal Pada Model Dinamik Penyebaran Virus Zika. Undergraduate thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Virus zika adalah sejenis virus dari keluarga flaviviridae dan genus flavivirus yang disebarkan oleh nyamuk Aedes Aegypti yang dapat menyebabkan masalah serius seperti penyakit Guillain Barre Syndrome (GBS) dan mikrosefalus. Dalam tugas akhir ini, digunakan model penyebaran virus zika yang terdiri dari dua populasi yang dibagi menjadi beberapa sub-populasi antara lain sub-populasi manusia Susceptible, sub-populasi manusia Asymtomatic Infected, sub-populasi manusia Symtomatic Infected, sub-populasi manusia Recovered, sub-populasi nyamuk Susceptible, dan sub-populasi nyamuk Infected. Model dianalisis dengan menentukan bilangan reproduksi dasar, titik kesetimbangan bebas penyakit dan endemik, serta kestabilan dari setiap titik kesetimbangan. Kemudian dilakukan kontrol optimal menggunakan Prinsip Maksimum Pontryagin yang disimulasikan secara numerik menggunakan metode Range-Kutta. Hasil simulasi menunjukan menurunnya sub-populasi manusia yang terinfeksi virus zika dan menurunnya populasi nyamuk setelah adanya pemberian kontrol berupa penggunaan kondom, pengobatan, dan penyemprotan insektisida, dengan nilai fungsi objektif sebesar 1,0586.
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Zika is a virus from flaviviridae family and flavivirus genus
that spread by Aedes Aegypti mosquito and that can cause serious
problem disease such as Guillain Barre Syndrome (GBS) and
mikrosefalus. This final project used spreading dynamic zika virus
mode
l that consists of two population and divided to sub
-
population
Susceptible humans, sub
-
population Asymtomatic
Infected humans, sub
-
population Infected humans, sub
-
population
Recovered humans, sub
-
population Susceptible mosquitoes, and
sub
-
population Infec
ted mosquitoes. The model that anlysis by
determine the basic reproduction number, the point of disease free
and endemic equilibrium, and the stability of each point of
equilibrium. Then,
do the optimal control using Pontryagin
principle
with
n
umerical
solut
ion given by Range
-
Kutta method.
The
simulation results show the
decreasing sub
-
population of
infected humans
, asymptomatic infected human,
and popu
lation of
mosquitoes after given
controls
such using condom, treatment, and
using
indoor residual spray
with
value of objective function
is
1.0586.
| Item Type: | Thesis (Undergraduate) |
|---|---|
| Uncontrolled Keywords: | Model penyebaran virus zika, Kestabilan, Kontrol Optimal, Prinsip Pontryagin, Metode Runge-Kutta |
| Subjects: | Q Science > QA Mathematics > QA402 System analysis. |
| Divisions: | Faculty of Mathematics, Computation, and Data Science > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | Pangestuti Nurani Dwi |
| Date Deposited: | 05 Jul 2021 10:24 |
| Last Modified: | 05 Jul 2021 10:24 |
| URI: | http://repository.its.ac.id/id/eprint/56485 |
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