JMT (Jurnal Matematika dan Terapan)
Vol 4 No 1 (2022): JMT (Jurnal Matematika dan Terapan)

Analisis Penyebaran Penyakit Covid-19 dengan Pengaruh Pengobatan Isolasi Mandiri dan Pengobatan Perawatan Rumah Sakit (Studi Kasus Penyebaran di DKI Jakarta)

Adam Victorio Alexis (Universitas Negeri Jakarta)
Fariani Hermin Indiyah (Universitas Negeri Jakarta)
Eti Dwi Wiraningsih (Universitas Negeri Jakarta)



Article Info

Publish Date
28 Feb 2022

Abstract

In this research, a model for the spread of Covid-19 will be built using a differential equation because in the population there are two subpopulations who can spread the disease, there is one subpopulation who go through incubation period, and there are also 2 subpopulations who go through the treatment so the model will consists of compartments such as susceptible, exposed, asymptomatically infectious, symptomatically infectious, treatment 1 (self-isolation), treatment 2 (hospital care), and recovered. Analysis begins by calculating the disease-free equilibrium and endemic equilibrium. Before stability analysis, the model must be checked for adequacy in describing the disease spread. Stability analysis begins by forming the next generation matrix of the model with helps of jacobian matrix and chracteristic equation, then we can get basic reproduction number. By entering the value of parameters according to data to the basic reproduction number, we get reproduction number is 0,851115. The size of reproduction number means that the disease will disappear from the population.

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Journal Info

Abbrev

jmt

Publisher

Subject

Decision Sciences, Operations Research & Management Economics, Econometrics & Finance

Description

JMT (Jurnal Matematika dan Terapan) is a journal that publishes about scientific papers containing fields of mathematics such as analysis, geometry, algebra and its application. This mathematics journal contains about the result of student thesis, research lecturer both in mathematics prodi unj and ...