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All Journal The Journal of Experimental Life Sciences (JELS) CAUCHY: Jurnal Matematika Murni dan Aplikasi Research Journal of Life Science Telematika Edumatsains MAJAMATH: Jurnal Matematika dan Pendidikan Matematika
Ummu Habibah
Departement Of Mathematics, Brawijaya University
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Education Immunology & microbiology Mathematics Medicine & Pharmacology Neuroscience Physics

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Journal : Telematika

 1 
Local Sensitivity Analysis of COVID-19 Epidemic with Quarantine and Isolation using Normalized Index Muhammad Abdurrahman Rois; Trisilowati Trisilowati; Ummu Habibah
Telematika Vol 14, No 1: February (2021)
Publisher : Universitas Amikom Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35671/telematika.v14i1.1191

Abstract

This study discusses the sensitivity analysis of parameters, namely the COVID-19 model, by dividing the population into seven subpopulations: susceptible, exposed, symptomatic infection, asymptomatic infection, quarantine, isolation, and recovered. The solution to the ordinary differential equation for the COVID-19 model using the fourth-order Runge-Kutta numerical method explains that COVID-19 is endemic, as evidenced by the basic reproduction number (R0) of 7.5. It means 1 individual can infect 7 to 8 individuals. Then  is calculated using the next-generation matrix method. Based on the value of R0, a parameter sensitivity analysis is implemented to specify the most influential parameters in the spread of the COVID-19 outbreak. This can provide input on the selection of appropriate control measures to solve the epidemic from COVID-19. The results of the sensitivity analysis are the parameters that have the most influence on the model.
Dynamical Analysis of the Spread of COVID-19 model and its Simulation with Vaccination and Social Distancing Ummu Habibah; Angelina Renny Christin Octavia Sianturi
Telematika Vol 16, No 1: February (2023)
Publisher : Universitas Amikom Purwokerto

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35671/telematika.v16i1.2373

Abstract

The model's creation and dynamical analysis were covered in this paper, SEIRS on the effects of vaccination and social isolation on the transmission of COVID-19. The susceptible individual subpopulation (S), the exposed individual subpopulation (E), the infected individual subpopulation (I), and the recovered individual subpopulation (R) are the four subpopulations that make up the human population in this model. This concept is founded on the notion that someone who has recovered from the illness is nonetheless vulnerable to reinfection. The carried out dynamical analysis includes the determination of the equilibrium point, the fundamental reproduction number (R_0), and evaluation of the local stability of the equilibrium point. The outcomes of the dynamical analysis show that there are two equilibrium points in the model: the endemic equilibrium point and the disease-free equilibrium point. Mathematical R_0>1 indicates the presence of an endemic equilibrium point, whereas a disease-free equilibrium point is always present. If the Routh-Hurwitz conditions are met, the endemic equilibrium point is locally asymptotically stable, but the disease-free equilibrium point is locally asymptotically stable if R_0
Co-Authors Agus Widodo Angelina Renny Christin Octavia Sianturi Cholifatul Maulidiah Ferreira, Tomas Goncalves Indah Yanti Mohamad Handri Tuloli Muhammad Abdurrahman Rois Nielda Alifah Mulyanti Rimanada, Viva Ririt Andria Sari Tomas Goncalves Ferreira Trisilowati, Trisilowati Tuloli, Mohamad Handri Viva Rimanada