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All Journal MES: Journal of Mathematics Education and Science
Nurul Qorima Putri
Institut Pertanian Bogor
Mathematics

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ANALISIS DINAMIKA PENYEBARAN COVID-19 DENGAN LAJU INSIDEN NONLINEAR Nurul Qorima Putri; Paian Sianturi
MES: Journal of Mathematics Education and Science Vol 6, No 2 (2021): Edisi Mei
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v6i2.3358

Abstract

This research is focused on discussing the SEIQRS epidemic model for the spread of the COVID-19 disease with a nonlinear incidence rate. From the result of analysis of the SEIQR model obtained two equilibrium point these are diseases free equilibrium points and endemic equilibrium point. Then, the analysis of the completion behavior is done by using eigenvalues and stability around equilibrium point, the obtained result of the diseases free equilibrium point has two stability traits are saddle point, and stable. The stability diseases free equilibrium will be stable when  R0  1, if R0 1 then the equilibrium point is not stable (saddle point) and conversely the positive endemic equilibrium point will be spiral stable. In numerical analysis, it is done by varying the parameter values and using the fourth order runge-kutta approach.
Co-Authors Paian Sianturi