On an attraction-repulsion chemotaxis model involving logistic source
| dc.contributor.author | Akkoyunlu, Ebubekir | |
| dc.date.accessioned | 2026-02-28T12:18:09Z | |
| dc.date.available | 2026-02-28T12:18:09Z | |
| dc.date.issued | 2025 | |
| dc.department | Bayburt Üniversitesi | |
| dc.description.abstract | This paper is concerned with the attraction-repulsion chemotaxis system involving logistic source: u(t) = triangle u - chi del (u del upsilon) + xi del (u del omega) + f(u), rho upsilon(t )= triangle upsilon - alpha 1 upsilon + beta(1)u, rho omega(t) = triangle omega - alpha(2)omega + beta(2)u under homogeneous Neumann boundary conditions with nonnegative initial data (u(0), upsilon(0), omega(0)) is an element of W-1,W-infinity (ohm))(3) , the parameters chi, xi, alpha(1), alpha(2), beta(1), beta(2) > 0, rho >= 0 subject to the non-flux boundary conditions in a bounded domain ohm subset of R (N) (N >= 3) with smooth boundary and f(u) <= au - mu u(2) with f(0) >= 0 and a >= 0, mu > 0 for all u > 0. Based on the maximal Sobolev regularity and semigroup technique, it is proved that the system admits a globally bounded classical solution provided that chi + xi < ()/(2) and there exists a constant beta(& lowast;) > 0 is sufficiently small for all beta(1), beta(2) < beta & lowast;. | |
| dc.identifier.doi | 10.15672/hujms.1284792 | |
| dc.identifier.endpage | 172 | |
| dc.identifier.issn | 2651-477X | |
| dc.identifier.issue | 1 | |
| dc.identifier.scopus | 2-s2.0-86000639604 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 159 | |
| dc.identifier.trdizinid | 1301921 | |
| dc.identifier.uri | https://doi.org/10.15672/hujms.1284792 | |
| dc.identifier.uri | https://search.trdizin.gov.tr/tr/yayin/detay/1301921 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12403/6126 | |
| dc.identifier.volume | 54 | |
| dc.identifier.wos | WOS:001436688000011 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.publisher | Hacettepe Univ, Fac Sci | |
| dc.relation.ispartof | Hacettepe Journal of Mathematics And Statistics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_WoS_20260218 | |
| dc.subject | attraction-repulsion | |
| dc.subject | chemotaxis | |
| dc.subject | logistic source | |
| dc.subject | global existence | |
| dc.title | On an attraction-repulsion chemotaxis model involving logistic source | |
| dc.type | Article |
