Nonlinear diffusion for chemotaxis and birth-death process for Keller-Segel model

Mustafa Ali DOKUYUCU; Ercan CELİK

Makale detayları

Nonlinear diffusion for chemotaxis and birth-death process for Keller-Segel model

Yazarlar:

Mustafa Ali DOKUYUCU | Ercan CELİK

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 3, pp.204-211

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000829978

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520

Özet:

 



This paper seeks to establish the stability of the
birth-death process in relation to the Keller-Segel Model. As well, it attempts
to describe the stability of non-linear diffusion for chemotaxis. Attention
will be on mass criticality results applying to the chemotaxis model.
Afterwards, the analysis of the relative stability that stationary states
exhibit is undertaken using the Keller-Segel system for the chemotaxis having
linear diffusion. Standard linearization and separation of variables are the
techniques employed in the analysis. The stability or instability of the
analysed cases is demonstrated by the graphics. By using the critical results
obtained for the models, the graphics are then compared with the rest.




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Makale detayları

Nonlinear diffusion for chemotaxis and birth-death process for Keller-Segel model

Yazarlar: Mustafa Ali DOKUYUCU | Ercan CELİK

Yayıncı: Biska Bilişim

Dergi: New Trends in Mathematical Sciences 2016 Vol.4 Issue 3, pp.204-211

Belge Tipi: Makale

Yayın Tarihi: 9/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000829978

Sıklık: Üç Aylık

eISSN: 2147-5520

pISSN: 2147-5520

Sayı

Yazarlar:

Mustafa Ali DOKUYUCU | Ercan CELİK

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 3, pp.204-211

Belge Tipi:

Makale

Yayın Tarihi:

9/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000829978

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520