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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Journal of Mathematics, Computation and Statistics (JMATHCOS)
Ratna Widayati
Universitas Nahdlatul Ulama Al Ghazali Cilacap
Mathematics

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Global Stability of Covid-19 Disease Free Based on Sivrs Model Ratna Widayati
Jurnal Matematika, Statistika dan Komputasi Vol. 19 No. 2 (2023): JANUARY 2023
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v19i2.24386

Abstract

This study discusses the spread of the Covid-19 disease by including new variant variables. The model used by SIVRS assumes there are deaths caused by Covid-19 and the new variant Covid-19. In addition, individuals who have been infected with the new variant of Covid-19 can recover. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was carried out around the disease-free equilibrium point and the result was that the global asymptotically stable disease-free equilibrium point with the condition R0<1. Furthermore, a simulation was carried out with the Maple 18.
Kendali Optimal pada Penyebaran Penyakit Covid-19 berdasarkan model SIVRS Ratna Widayati; Mizan Ahmad; Noor Sofiyati
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

This study discusses about optimal control for spread of Covid-19 disease with the assumptionthat there is a subpopulation of individuals infected with the new variant of Covid-19. Transmission canoccur between individuals in susceptible subpopulations and individuals in subpopulations infected withCovid-19. SIVRS model is used by assumes that there is control variable in the form of the vaccinationstrategy given to susceptible individuals. This study aims to minimize the number of individuals in thesubpopulation infected and infected with the new variant. An analysis of the optimal control solution wascarried out using the Hamiltonian function and then solving it using the Sweep Forward and Back methodin Matlab. The results show that the vaccination strategy implemented can minimize the number ofindividuals in the subpopulation infected and infected with the new variant.
Co-Authors Mizan Ahmad Noor Sofiyanti noor Sofiyati