Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

Cihan Taş; Rukiye Kara

Makale detayları

Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

Yazarlar:

Cihan Taş | Rukiye Kara

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.390-402

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311762

pISSN:

2536-4618

Anahtar kelimeler:

Özet:

 The stability analysis of an epidemic model that takes into account the impact of vaccination and hospitalization is investigated in this study. Disease-free and endemic equilibrium points are obtained for the stability analysis. The necessary conditions for analyzing local stability at equilibrium points as well as global stability at the disease-free equilibrium point are also defined. Using data from three different periods corresponding to the emergence of three different variants of the COVID-19 outbreak in Turkey, the numerical simulation with graph fitting for the model is also taken into account. The analysis considers the efficacy of vaccination in restricting the viruss spread.

 The stability analysis of an epidemic model that takes into account the impact of vaccination and hospitalization is investigated in this study. Disease-free and endemic equilibrium points are obtained for the stability analysis. The necessary conditions for analyzing local stability at equilibrium points as well as global stability at the disease-free equilibrium point are also defined. Using data from three different periods corresponding to the emergence of three different variants of the COVID-19 outbreak in Turkey, the numerical simulation with graph fitting for the model is also taken into account. The analysis considers the efficacy of vaccination in restricting the viruss spread.

 The stability analysis of an epidemic model that takes into account the impact of vaccination and hospitalization is investigated in this study. Disease-free and endemic equilibrium points are obtained for the stability analysis. The necessary conditions for analyzing local stability at equilibrium points as well as global stability at the disease-free equilibrium point are also defined. Using data from three different periods corresponding to the emergence of three different variants of the COVID-19 outbreak in Turkey, the numerical simulation with graph fitting for the model is also taken into account. The analysis considers the efficacy of vaccination in restricting the viruss spread.

 The stability analysis of an epidemic model that takes into account the impact of vaccination and hospitalization is investigated in this study. Disease-free and endemic equilibrium points are obtained for the stability analysis. The necessary conditions for analyzing local stability at equilibrium points as well as global stability at the disease-free equilibrium point are also defined. Using data from three different periods corresponding to the emergence of three different variants of the COVID-19 outbreak in Turkey, the numerical simulation with graph fitting for the model is also taken into account. The analysis considers the efficacy of vaccination in restricting the viruss spread.

Makale detayları

Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

Yazarlar:

Cihan Taş | Rukiye Kara

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.390-402

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311762

pISSN:

2536-4618

Epidemic mathematical model

Equilibrium points

Stability analysis

Numerical simulation

Dynamical systems

Sayı

Makale detayları

Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

Yazarlar: Cihan Taş | Rukiye Kara

Yayıncı: Igdir University

Ana Başlıklar: Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.390-402

Belge Tipi: Makale

Yayın Tarihi: 1/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001311762

pISSN: 2536-4618

Epidemic mathematical model

Equilibrium points

Stability analysis

Numerical simulation

Dynamical systems

Sayı

Yazarlar:

Cihan Taş | Rukiye Kara

Yayıncı:

Igdir University

Ana Başlıklar:

Adi Diferansiyel Denklemler | Fark Denklemleri ve Dinamik Sistemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.390-402

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311762

pISSN:

2536-4618