A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence

Halil İbrahim Kurt; Mustafa Ekici

doi:10.53570/jnt.1700338

EN

A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence

Abstract

This paper investigates the population dynamics of solutions to a parabolic-parabolic-elliptic type of multi-species Keller-Segel chemotaxis system under the Neumann boundary conditions in a smoothly bounded domain. It studies dynamical properties such as $L^\rho$-bounds, global existence, global boundedness, and combined mass persistence of solutions for the aforementioned system. Under certain specified parameter conditions, the paper shows that the system admits a unique global classical solution that remains uniformly bounded from above. Furthermore, it establishes that the entire population persists at all times; in other words, this study proves that any globally bounded classical solution maintains a positive lower mass bound.

Keywords

Keller-Segel system, chemotaxis, global existence, global boundedness, mass persistence

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Details

Primary Language

English

Subjects

Biological Mathematics, Dynamical Systems in Applications, Applied Mathematics (Other)

Journal Section

Research Article

Authors

Halil İbrahim Kurt
0000-0002-9549-6445
Türkiye

Mustafa Ekici ^*
0000-0003-2494-8229
Türkiye

Early Pub Date

June 30, 2025

Publication Date

June 30, 2025

Submission Date

May 15, 2025

Acceptance Date

June 18, 2025

Published in Issue

Year 2025 Number: 51

DOI

https://doi.org/10.53570/jnt.1700338

IZ

https://izlik.org/JA62BK69PR

APA

Kurt, H. İ., & Ekici, M. (2025). A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence. Journal of New Theory, 51, 76-91. https://doi.org/10.53570/jnt.1700338

AMA

1.Kurt Hİ, Ekici M. A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence. JNT. 2025;(51):76-91. doi:10.53570/jnt.1700338

Chicago

Kurt, Halil İbrahim, and Mustafa Ekici. 2025. “A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence”. Journal of New Theory, nos. 51: 76-91. https://doi.org/10.53570/jnt.1700338.

EndNote

Kurt Hİ, Ekici M (June 1, 2025) A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence. Journal of New Theory 51 76–91.

IEEE

[1]H. İ. Kurt and M. Ekici, “A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence”, JNT, no. 51, pp. 76–91, June 2025, doi: 10.53570/jnt.1700338.

ISNAD

Kurt, Halil İbrahim - Ekici, Mustafa. “A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence”. Journal of New Theory. 51 (June 1, 2025): 76-91. https://doi.org/10.53570/jnt.1700338.

JAMA

1.Kurt Hİ, Ekici M. A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence. JNT. 2025;:76–91.

MLA

Kurt, Halil İbrahim, and Mustafa Ekici. “A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence”. Journal of New Theory, no. 51, June 2025, pp. 76-91, doi:10.53570/jnt.1700338.

Vancouver

1.Halil İbrahim Kurt, Mustafa Ekici. A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence. JNT. 2025 Jun. 1;(51):76-91. doi:10.53570/jnt.1700338

Cited By

Global Boundedness and Mass Persistence in a Multi-Species Chemotaxis System

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi

https://doi.org/10.21597/jist.1640922