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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 29 Sayı: 1

Global Boundedness and Mass Persistence of Solutions to A Chemotaxis-Competition System with Logistic Source

Bir Lojistik Kemotaksis-Rekabet Sisteminin Çözümlerinin Küresel Sınırlılığı ve Kitlesel Kalıcılığı

Halil İbrahim Kurt(ARTVİN ÇORUH ÜNİVERSİTESİ, ARTVİN MESLEK YÜKSEKOKULU)0000-0002-9549-6445
Pages
167–175
Publication Date
2025-04-25
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, it is shown that the population as a whole is never extinct.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article examines the population dynamics of solutions such as global existence, global boundedness, and mass persistence, to a parabolic elliptic type of chemotaxis-competition system including logistics kinetics in a smooth bounded domain.
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Key Findings & Data:Tello and Winkler were the first to investigate the global existence and global boundedness of the system mentioned above.
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Conclusion & Impact:In addition, it is shown that the population as a whole is never extinct.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Lineer hassasiyet · Lojistik kaynak · Global varlık

Abstract

This article examines the population dynamics of solutions such as global existence, global boundedness, and mass persistence, to a parabolic elliptic type of chemotaxis-competition system including logistics kinetics in a smooth bounded domain. Tello and Winkler were the first to investigate the global existence and global boundedness of the system mentioned above. Then Tao and Winkler examined qualitative properties of the given system such as the mass persistence of solutions. This study improves some known results and reveals that under some suitable conditions, there exists a classical solution to the system described above that is globally bounded. In addition, it is shown that the population as a whole is never extinct.

Özet

Bu makale, düzgün sınırlı bir alanda lojistik kinetik içeren parabolik eliptik tipte bir kemotaksi-rekabet sistemine ait global varlık, global sınırlılık ve kütlesel kalıcılığı gibi çözümlerin popülasyon dinamiklerini incelemektedir. Tello ve Winkler'in ilk olarak yukarıda belirtilen sistemin küresel varlığını ve sınırlılığını incelemiştir. Daha sonra Tao ve Winkler, verilen sistemin çözümlerin kütlesel kalıcılığı gibi dinamik özelliklerini araştırmışlardır. Bu çalışmada, bilinen bazı sonuçlar geliştirilmiştir ve uygun koşullar altında sistemin küresel olarak var ve sınırlı olan tek bir klasik çözüme sahip olduğunu göstermiştir. Buna ilave olarak, popülasyonun bir bütün olarak asla yok olmadığı gösterilmiştir.

🔖

Cite This Article

Kurt, H. İ. (2025). Global Boundedness and Mass Persistence of Solutions to A Chemotaxis-Competition System with Logistic Source. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 29 Sayı: 1, 167–175. https://doi.org/10.19113/sdufenbed.1627078

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