Global attractors in a two-species chemotaxis system with two chemicals and variable logistic sources
Küçük Resim Yok
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This paper deals with the higher dimension quasilinear parabolic-parabolic chemotaxis model involving a source term of logistic type (formula presented), subject to the homogeneous Neumann boundary conditions in a ? ? RN (N ? 1) with smooth boundary. It is shown that for the attractionrepulsion case with ?<inf>2</inf> ? 0, the global boundedness of solutions can be ensured by µ<inf>1</inf>, µ<inf>2</inf> > 0 without any other assumptions, due to the contribution of the logistic sources included in addition to the repulsion mechanism. While for the attraction-attraction case with ?<inf>2</inf> > 0, the global boundedness of solutions has to require logistic coefficients µ<inf>1</inf>, µ<inf>2</inf> > 0 such that µ<inf>2</inf> properly large. © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
Açıklama
Anahtar Kelimeler
global boundedness, Two-species chemotaxis system, variable logistic source
Kaynak
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
44
Sayı
1
