Dynamics in a parabolic-elliptic chemotaxis system with logistic source involving exponents depending on the spatial variables

Ayazoglu, Rabil; Kadakal, Mahir; Akkoyunlu, Ebubekir

doi:10.3934/dcdsb.2023169

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mathematical study of such models has some difficulties with respect to "classical" models. We refer the interested reader to the recently published articles [3][4][5] with logistic source involving the exponents depending on the spatial variables.…”

Section: Introductionmentioning

confidence: 99%

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

2024

TRANSACTIONS.(issue MECHANICS)

View full text Add to dashboard Cite

This paper deals with the higher dimension quasilinear parabolic-parabolic chemotaxis model involving a source term of logistic typewith smooth boundary. It is shown that for the attractionrepulsion case with χ 2 ≤ 0, the global boundedness of solutions can be ensured by µ 1 , µ 2 > 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 χ 2 > 0, the global boundedness of solutions has to require logistic coefficients µ 1 , µ 2 > 0 such that µ 2 properly large.

show abstract

Section: Introductionmentioning

confidence: 99%

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

2024

TRANSACTIONS.(issue MECHANICS)

View full text Add to dashboard Cite

show abstract

Dynamics in a parabolic-elliptic chemotaxis system with logistic source involving exponents depending on the spatial variables

Cited by 1 publication

References 33 publications

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

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

Contact Info

Product

Resources

About