We produced an SIR model of influenza which is a global infectious disease, by using Caputo fractional derivative. In this model, we separated S and I into different groups. Separation is made according to the group of people in S who get vaccinated and are protected from influenza, also people in S who get vaccinated but are not protected besides people in S who do not get vaccinated. Furthermore, infected people are separated as treated and untreated people in I. We did stability analysis of the model and produced the basic reproduction number. We emphasized the importance of influenza vaccine and treatment for infected people by varying the values of the parameters and was shown with graphics.
Basic Reproduction Number Fractional SIR Model Influenza Rates Of Treatment And Vaccination Stability Analysis
FYL-2023-5925
FYL-2023-5925
Birincil Dil | İngilizce |
---|---|
Konular | Uygulamalı Matematik (Diğer) |
Bölüm | Makaleler |
Yazarlar | |
Proje Numarası | FYL-2023-5925 |
Erken Görünüm Tarihi | 11 Haziran 2024 |
Yayımlanma Tarihi | |
Gönderilme Tarihi | 22 Nisan 2024 |
Kabul Tarihi | 29 Mayıs 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 2 |
Journal of Mathematical Sciences and Modelling
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