A DYNAMICAL ANALYSIS OF THE VIRUS REPLICATION EPIDEMIC MODEL

I. Kusbeyzı AYBAR

Makale detayları

A DYNAMICAL ANALYSIS OF THE VIRUS REPLICATION EPIDEMIC MODEL

Yazarlar:

I. Kusbeyzı AYBAR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.206-219

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805552

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this article, the stability and the computational algebraic properties of a virus replication epidemic model is investigated. The model is represented by a three dimensional dynamical system with six parameters. The conditions for the existence of Hopf bifurcation in the system are given. Then, the model with the Beddington- DeAngelis functional response instead of the original nonlinear response function has been studied in order to understand the eect of the Beddington-DeAngelis functional response on the qualitative properties of the system. The stability of the systems at the singular points is investigated and the conditions for the systems to have the analytic rst integrals and Hopf bifurcation are given. Finally, the results are illustrated by giving numerical examples.

Makale detayları

A DYNAMICAL ANALYSIS OF THE VIRUS REPLICATION EPIDEMIC MODEL

Yazarlar: I. Kusbeyzı AYBAR

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.206-219

Belge Tipi: Makale

Yayın Tarihi: 5/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000805552

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

I. Kusbeyzı AYBAR

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2019 Vol.9 Issue 2, pp.206-219

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000805552

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147