ANALISIS KESTABILAN PEMODELAN MATEMATIKA PENYEBARAN COVID-19 DENGAN ADANYA INDIVIDU CARRIER DAN PENGARUH ISOLASI DI DKI JAKARTA

SARAH DISVIANA, . (2021) ANALISIS KESTABILAN PEMODELAN MATEMATIKA PENYEBARAN COVID-19 DENGAN ADANYA INDIVIDU CARRIER DAN PENGARUH ISOLASI DI DKI JAKARTA. Sarjana thesis, UNIVERSITAS NEGERI JAKARTA.

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Abstract

Dalam penelitian ini, dibentuk model matematika yang menggambarkan penyebaran COVID-19 di DKI Jakarta yang terdiri atas kompartemen rentan, kompartemen terinfeksi bergejala, kompartemen terinfeksi tidak bergejala, kompartemen isolasi di rumah, kompartemen isolasi di rumah sakit dan kompartemen sembuh. Selanjutnya, akan dianalisis titik kesetimbangan bebas penyakit untuk mengetahui kestabilannya dan akan dilakukan simulasi dengan bantuan maple software dan octave. pada model yang sudah dibentuk. Setelah dilakukan simulasi dengan menggunakan data COVID-19 di DKI Jakarta sampai tanggal 5 Juli 2021, dihasilkan nilai angka reproduksi dasar sebesar 0,04152673249 yang berarti bahwa angka reproduksi dasar kurang dari satu. Hal ini menunjukkan penyebaran COVID-19 secara perlahan akan menghilang. In this research, writer form mathematic model which describe COVID-19 spreading in DKI Jakarta which consist of susceptible compartment, symptomatic infection compartment, asymptomatic infection compartment, self isolation compartment, isolation at hospital compartment and recover compartment. Next, the disease free stability point will be analyzed to know the stability and simulation will be carried out with the help of maple software and octave on the model that has been formed. After doing the simulation using COVID-19 data in Jakarta until July 5th, 2021, the value of basic reproduction number is 0,04152673249 which means that basic reproduction value less than one. This shows the spread of COVID-19 will slowly disappear.

Item Type: Thesis (Sarjana)
Additional Information: 1). Dr. Eti Dwi Wiraningsih, S.Pd, M.Si. ; 2). Ibnu Hadi, M.Si.
Subjects: Sains > Matematika
Divisions: FMIPA > S1 Matematika
Depositing User: Users 11716 not found.
Date Deposited: 30 Aug 2021 08:08
Last Modified: 30 Aug 2021 08:08
URI: http://repository.unj.ac.id/id/eprint/18380

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