Analysis of an Epidemic Spreading Model with Exponential Decay Law

Mehmet YAVUZ; Necati ÖZDEMİR

doi:https://doi.org/10.36753/mathenot.691638

Makale detayları

Analysis of an Epidemic Spreading Model with Exponential Decay Law

Yazarlar:

Mehmet YAVUZ | Necati ÖZDEMİR

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Mathematical Sciences and Applications E-Notes 2020 Vol.8 Issue 1, pp.142-154

Belge Tipi:

Makale

Yayın Tarihi:

3/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000541830

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.691638

Özet:

 

Mathematical modeling of infectious diseases has shown that combinations of isolation, quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious diseases. Continuous mathematical models have been used to study the dynamics of infectious diseases within a human host and in the population. We have used in this study a SIR model that categorizes individuals in a population as susceptible (S), infected (I) and recovered (R). It also simulates the transmission dynamics of diseases where individuals acquire permanent immunity. We have considered the SIR model using the Caputo-Fabrizio and we have obtained special solutions and numerical simulations using an iterative scheme with Laplace transform. Moreover, we have studied the uniqueness and existence of the solutions.

Makale detayları

Analysis of an Epidemic Spreading Model with Exponential Decay Law

Yazarlar: Mehmet YAVUZ | Necati ÖZDEMİR

Yayıncı: Murat TOSUN

Ana Başlıklar: Uygulamalı fizik

Dergi: Mathematical Sciences and Applications E-Notes 2020 Vol.8 Issue 1, pp.142-154

Belge Tipi: Makale

Yayın Tarihi: 3/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000541830

Sıklık: Üç Aylık

eISSN: 2147-6268

DOI: https://doi.org/10.36753/mathenot.691638

Sayı

Yazarlar:

Mehmet YAVUZ | Necati ÖZDEMİR

Yayıncı:

Murat TOSUN

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Mathematical Sciences and Applications E-Notes 2020 Vol.8 Issue 1, pp.142-154

Belge Tipi:

Makale

Yayın Tarihi:

3/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000541830

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.691638