Global attractors in a two-species chemotaxis system with two chemicals and variable logistic sources

Küçük Resim Yok

Tarih

2024

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 ?2 ? 0, the global boundedness of solutions can be ensured by µ1, µ2 > 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 ?2 > 0, the global boundedness of solutions has to require logistic coefficients µ1, µ2 > 0 such that µ2 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 Issue Mathematics, Azerbaijan National Academy of Sciences

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

44

Sayı

1

Künye