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

Halil İbrahim Kurt

Makale detayları

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

Yazarlar:

Halil İbrahim Kurt

Yayıncı:

Igdir University

Ana Başlıklar:

Kısmi Diferansiyel Denklemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 3, pp.1100-1109

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001356705

pISSN:

2536-4618

Anahtar kelimeler:

Özet:

 This research paper concerns with the population dynamics of a multi-species and multi-chemicals chemotaxis system characterized by a parabolic-parabolic-elliptic-elliptic structure under no-flux boundary conditions in a smooth bounded domain. This research study examines the global existence, global boundedness, and persistence of mass of solutions of the system mentioned above. In all spatial dimensional settings, we first demonstrate the global Lp-boundedness of solutions under some explicit parameter conditions that notably exclude any dependence on the dimensionality. Then, it has been establihed that the global existence and boundedness of positive solutions are implied by Lp-bounds of solutions under the exact same hypotheses. In addition to these ones, we prove that any globally bounded classical solution eventually persist as a whole under the same conditions. The results obtained in this study contribute to a more profound theoretical understanding of chemotaxis models in multi-species and multi-chemical environments. In order to establish the qualitative properties of chemotaxis model mentioned in the above, some advanced mathematical techniques and strategies has been developed.

 This research paper concerns with the population dynamics of a multi-species and multi-chemicals chemotaxis system characterized by a parabolic-parabolic-elliptic-elliptic structure under no-flux boundary conditions in a smooth bounded domain. This research study examines the global existence, global boundedness, and persistence of mass of solutions of the system mentioned above. In all spatial dimensional settings, we first demonstrate the global Lp-boundedness of solutions under some explicit parameter conditions that notably exclude any dependence on the dimensionality. Then, it has been establihed that the global existence and boundedness of positive solutions are implied by Lp-bounds of solutions under the exact same hypotheses. In addition to these ones, we prove that any globally bounded classical solution eventually persist as a whole under the same conditions. The results obtained in this study contribute to a more profound theoretical understanding of chemotaxis models in multi-species and multi-chemical environments. In order to establish the qualitative properties of chemotaxis model mentioned in the above, some advanced mathematical techniques and strategies has been developed.

 This research paper concerns with the population dynamics of a multi-species and multi-chemicals chemotaxis system characterized by a parabolic-parabolic-elliptic-elliptic structure under no-flux boundary conditions in a smooth bounded domain. This research study examines the global existence, global boundedness, and persistence of mass of solutions of the system mentioned above. In all spatial dimensional settings, we first demonstrate the global Lp-boundedness of solutions under some explicit parameter conditions that notably exclude any dependence on the dimensionality. Then, it has been establihed that the global existence and boundedness of positive solutions are implied by Lp-bounds of solutions under the exact same hypotheses. In addition to these ones, we prove that any globally bounded classical solution eventually persist as a whole under the same conditions. The results obtained in this study contribute to a more profound theoretical understanding of chemotaxis models in multi-species and multi-chemical environments. In order to establish the qualitative properties of chemotaxis model mentioned in the above, some advanced mathematical techniques and strategies has been developed.

 Bu araştırma makalesi, sınırlı bir alanda çok türlü ve çok kimyasallı bir kemotaksi sisteminin parabolik-parabolik-eliptik-eliptik tipindeki popülasyon dinamikleriyle ilgilidir. Bu çalışmada, tüm uzaysal boyutlu ortamlarda, yukarıda belirtilen sistemin çözümlerinin küresel varlığı, küresel sınırlılığı ve kütle kalıcılığı, boyutu içermeyen bazı açık parametre koşulları altında oluşturulmuştur.

Makale detayları

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

Yazarlar:

Halil İbrahim Kurt

Yayıncı:

Igdir University

Ana Başlıklar:

Kısmi Diferansiyel Denklemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 3, pp.1100-1109

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001356705

pISSN:

2536-4618

Chemotaxis

multi-species system

regular sensitivity

global existence

global boundedness

mass persistenceKemotaksi

çok türlü sistem

düzenli duyarlılık

küresel varlık

küresel sınırlılık

kütle sürekliliği

Sayı

Makale detayları

Yazarlar: Halil İbrahim Kurt

Yayıncı: Igdir University

Ana Başlıklar: Kısmi Diferansiyel Denklemler

Dergi: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 3, pp.1100-1109

Belge Tipi: Makale

Yayın Tarihi: 1/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001356705

pISSN: 2536-4618

Sayı

Yazarlar:

Halil İbrahim Kurt

Yayıncı:

Igdir University

Ana Başlıklar:

Kısmi Diferansiyel Denklemler

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 3, pp.1100-1109

Belge Tipi:

Makale

Yayın Tarihi:

1/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001356705

pISSN:

2536-4618