An age-structured model for the transmission dynamics of hepatitis B: asymptotic analysis

Rodrigue Yves M&#039;pika MAKOUSSOU; Aboubakari TRAORE

Makale detayları

An age-structured model for the transmission dynamics of hepatitis B: asymptotic analysis

Yazarlar:

Rodrigue Yves M'pika MAKOUSSOU | Aboubakari TRAORE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 2, pp.436-460

Belge Tipi:

Makale

Yayın Tarihi:

3/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746079

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we consider the age-structured model for the transmission dynamics of Hepatitis B virus (HBV) proposed earlier in the article by  Zou et al.: An age-structured model for transmission dynamics of hepatitis B. SIAM J Appl Math 2010; 70: 3121-3139,   where a slight modification is made. We consider that the HBV infection processes act on a time scale different from that of the vital processes. Such a model becomes a multiple time scale model and thus it often can be significantly simplified by various asymptotic methods.   We apply, as in the paper of Banasiak and  M'pika Massoukou: A singularly perturbed age structured SIRS model with fast recovery. Disc Cont Dyn Sys 2014, a suitable technique of asymptotic analysis, based on the Chapman-Enskog procedure, which allows separation of scales and aggregation of variables.

Makale detayları

An age-structured model for the transmission dynamics of hepatitis B: asymptotic analysis

Yazarlar: Rodrigue Yves M&#039;pika MAKOUSSOU | Aboubakari TRAORE

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 2, pp.436-460

Belge Tipi: Makale

Yayın Tarihi: 3/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000746079

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Rodrigue Yves M'pika MAKOUSSOU | Aboubakari TRAORE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 2, pp.436-460

Belge Tipi:

Makale

Yayın Tarihi:

3/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000746079

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098