Global dynamics of chemotaxis-consumption systems with oppositely acting nonlocal terms
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914146663006208 |
|---|---|
| author | Fuentes, Rafael Diaz Duzgun, Fatma Gamze Frassu, Silvia Viglialoro, Giuseppe |
| author_facet | Fuentes, Rafael Diaz Duzgun, Fatma Gamze Frassu, Silvia Viglialoro, Giuseppe |
| contents | This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on conditions under which solutions exist for all time and remain uniformly bounded, preventing cell aggregation.
Two types of source terms are considered. In the first case, the structure of the source term ensures that the total cell mass remains controlled over time. In the second case, this mass control is not guaranteed, which can lead to different dynamic behaviors. The results extend previous studies that examined similar systems but with more specific source terms and slightly different chemical dynamics. This work highlights how variations in the reaction terms influence the long-term behavior of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06974 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global dynamics of chemotaxis-consumption systems with oppositely acting nonlocal terms Fuentes, Rafael Diaz Duzgun, Fatma Gamze Frassu, Silvia Viglialoro, Giuseppe Analysis of PDEs This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on conditions under which solutions exist for all time and remain uniformly bounded, preventing cell aggregation. Two types of source terms are considered. In the first case, the structure of the source term ensures that the total cell mass remains controlled over time. In the second case, this mass control is not guaranteed, which can lead to different dynamic behaviors. The results extend previous studies that examined similar systems but with more specific source terms and slightly different chemical dynamics. This work highlights how variations in the reaction terms influence the long-term behavior of the system. |
| title | Global dynamics of chemotaxis-consumption systems with oppositely acting nonlocal terms |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.06974 |