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All Journal Limits: Journal of Mathematics and Its Applications
Nurani Dwi Pangestuti
Department of Mathematics, Institut Tekologi Sepuluh Nopember
Mathematics

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Journal : Limits: Journal of Mathematics and Its Applications

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Analisis dan Kontrol Optimal pada Model Dinamik Penyebaran Virus Zika Suhud Wahyudi; Nurani Dwi Pangestuti; Kamiran Kamiran
Limits: Journal of Mathematics and Its Applications Vol 20, No 1 (2023)
Publisher : Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v20i1.14724

Abstract

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. In this paper used spreading dynamic zika virus model 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 Infected 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 numerical solution given by Range-Kutta method. The simulation results show the decreasing sub-population of infected humans, asymptomatic infected human, and population of mosquitoes after given controls such using condom, treatment, and using indoor residual spray.
Co-Authors Kamiran Kamiran Suhud Wahyudi