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Academic literature on the topic 'SVNIR MODEL'

Author: Grafiati
Published: 11 September 2023

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Journal articles on the topic "SVNIR MODEL"

1

Septiansyah, Gian, Muhammad Ahsar Karim, and Yuni Yulida. "PEMODELAN MATEMATIKA PENYEBARAN COVID-19 DENGAN MODEL SVEIR." EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN 16, no. 2 (2022): 101. http://dx.doi.org/10.20527/epsilon.v16i2.6496.

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Coronavirus disease 2019 or also known as Covid-19 is a disease caused by a type of coronavirus called Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) or better known as the corona virus. Covid-19 become a pandemic since 2020 and has been widely studied, one of which is in mathematical modeling. In this study, the spread of Covid-19 is modeled using the SVEIR (Susceptible, Vaccination, Exposed, Infected, and Recovered) model. The purpose of this study explains the formation of the Covid-19 SVEIR model, determines the equilibrium point, determines the basic reproduction number, and
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2

Harianto, Joko, Titik Suparwati, and Inda Puspita Sari. "DINAMIKA LOKAL MODEL EPIDEMI SVIR DENGAN IMIGRASI PADA KOMPARTEMEN VAKSINASI." BAREKENG: Jurnal Ilmu Matematika dan Terapan 14, no. 2 (2020): 297–304. http://dx.doi.org/10.30598/barekengvol14iss2pp297-304.

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Abstrak
 Artikel ini termasuk dalam ruang lingkup matematika epidemiologi. Tujuan ditulisnya artikel ini untuk mendeskripsikan dinamika lokal penyebaran suatu penyakit dengan beberapa asumsi yang diberikan. Dalam pembahasan, dianalisis titik ekuilibrium model epidemi SVIR dengan adanya imigrasi pada kompartemen vaksinasi. Dengan langkah pertama, model SVIR diformulasikan, kemudian titik ekuilibriumnya ditentukan, selanjutnya, bilangan reproduksi dasar ditentukan. Pada akhirnya, kestabilan titik ekuilibirum yang bergantung pada bilangan reproduksi dasar ditentukan secara eksplisit. Hasilny
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3

Seydou, Moussa, and Ousmane Moussa Tessa. "A Stochastic SVIR Model for Measles." Applied Mathematics 12, no. 03 (2021): 209–23. http://dx.doi.org/10.4236/am.2021.123013.

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4

Harianto, Joko, and Inda Puspita Sari. "Local Dynamics of an SVIR Epidemic Model with Logistic Growth." CAUCHY 6, no. 3 (2020): 122–32. http://dx.doi.org/10.18860/ca.v6i3.9891.

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Discussion of local stability analysis of SVIR models in this article is included in the scope of applied mathematics. The purpose of this discussion was to provide results of local stability analysis that had not been discussed in some articles related to the SVIR model. The SVIR models discussed in this article involve logistics growth in the vaccinated compartment. The results obtained, i.e. if the basic reproduction number less than one and m is positive, then there is one equilibrium point i.e. E0 is locally asymptotically stable. In the field of epidemiology, this means that the disease
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5

Wyss, Alejandra, and Arturo Hidalgo. "Modeling COVID-19 Using a Modified SVIR Compartmental Model and LSTM-Estimated Parameters." Mathematics 11, no. 6 (2023): 1436. http://dx.doi.org/10.3390/math11061436.

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This article presents a modified version of the SVIR compartmental model for predicting the evolution of the COVID-19 pandemic, which incorporates vaccination and a saturated incidence rate, as well as piece-wise time-dependent parameters that enable self-regulation based on the epidemic trend. We have established the positivity of the ODE version of the model and explored its local stability. Artificial neural networks are used to estimate time-dependent parameters. Numerical simulations are conducted using a fourth-order Runge–Kutta numerical scheme, and the results are compared and validate
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6

Das, Anjana, and M. Pal. "Modeling and Analysis of an Imprecise Epidemic System with Optimal Treatment and Vaccination Control." Biophysical Reviews and Letters 13, no. 02 (2018): 37–60. http://dx.doi.org/10.1142/s1793048018500042.

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In this paper, we propose and analyze a Susceptible-Vaccinated-Exposed-Infected-Recovered (SVEIR) type infectious disease model with imprecise parameters. Introducing the interval numbers in functional form, the SVEIR model is proposed and formulated. The existence of possible equilibrium points with their feasibility criteria and an explicit value of basic reproduction number is obtained. The asymptotic stability of the system at different equilibrium points are also discussed. Next by considering treatment and vaccination as two control parameters, an optimal control problem is formulated an
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7

Ahaya, Sitty Oriza Sativa Putri, Emli Rahmi, and Nurwan Nurwan. "Analisis dinamik model SVEIR pada penyebaran penyakit campak." Jambura Journal of Biomathematics (JJBM) 1, no. 2 (2020): 57–64. http://dx.doi.org/10.34312/jjbm.v1i2.8482.

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In this article, we analyze the dynamics of measles transmission model with vaccination via an SVEIR epidemic model. The total population is divided into five compartments, namely the Susceptible, Vaccinated, Exposed, Infected, and Recovered populations. Firstly, we determine the equilibrium points and their local asymptotically stability properties presented by the basic reproduction number R0. It is found that the disease free equilibrium point is locally asymptotically stable if satisfies R01 and the endemic equilibrium point is locally asymptotically stable when R01. We also show the exist
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8

WANG, JINLIANG, SHENGQIANG LIU, and YASUHIRO TAKEUCHI. "THRESHOLD DYNAMICS IN A PERIODIC SVEIR EPIDEMIC MODEL." International Journal of Biomathematics 04, no. 04 (2011): 493–509. http://dx.doi.org/10.1142/s1793524511001490.

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In this paper, we investigate the dynamical behavior of a class of periodic SVEIR epidemic model. Since the nonautonomous phenomenon often occurs as cyclic pattern, our model is then a periodic time-dependent system. It follows from persistence theory that the basic reproduction number is the threshold parameter above which the disease is uniformly persistent and below which disease-free periodic solution is globally asymptotically stable. The threshold dynamics extends the classic results for the corresponding autonomous model. Furthermore, we show that eradication policy on the basis of the
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9

Harianto, Joko, and Titik Suparwati. "SVIR Epidemic Model with Non Constant Population." CAUCHY 5, no. 3 (2018): 102. http://dx.doi.org/10.18860/ca.v5i3.5511.

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In this article, we present an SVIR epidemic model with deadly deseases and non constant population. We only discuss the local stability analysis of the model. Initially the basic formulation of the model is presented. Two equilibrium point exists for the system; disease free and endemic equilibrium point. The local stability of the disease free and endemic equilibrium exists when the basic reproduction number less or greater than unity, respectively. If the value of R0 less than one then the desease free equilibrium point is locally asymptotically stable, and if its exceeds, the endemic equil
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10

Parhusip, Hanna Arini, Suryasatriya Trihandaru, Bernadus Aryo Adhi Wicaksono, Denny Indrajaya, Yohanes Sardjono, and Om Prakash Vyas. "Susceptible Vaccine Infected Removed (SVIR) Model for COVID-19 Cases in Indonesia." Science and Technology Indonesia 7, no. 3 (2022): 400–408. http://dx.doi.org/10.26554/sti.2022.7.3.400-408.

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Analysis of data on COVID-19 cases in Indonesia is shown by using the Susceptible Vaccine Infected Removed (SVIR) in this article. In the previous research, cases in the period March-May 2021 were studied, and the reproduction number was computed based on the Susceptible Infected Removed (SIR) model. The prediction did not agree with the real data. Therefore the objective of this article is to improve the model by adding the vaccine variable leading to the new model called the SVIR model as the novelty of this article. The used data are collected from COVID-19 cases of the Indonesian populatio
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