New results on the global dynamics for a two-species chemotaxis system with two chemicals and logistic sources

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dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorEkincioglu, Ismail
dc.date.accessioned2026-02-28T12:17:54Z
dc.date.available2026-02-28T12:17:54Z
dc.date.issued2025
dc.departmentBayburt Üniversitesi
dc.description.abstractThis paper deals with the following competitive two-species chemotaxis system with two chemicals with a source term of logistic type u(t )=Delta u-chi(1)del & sdot;(u del upsilon)+eta(1)u-mu(1)u(2), upsilon(t )= Delta upsilon-upsilon+omega, omega(t )= Delta omega-chi(2)del & sdot;(omega del z)+eta(2)omega-mu(2)omega(2), 0 = Delta z - z + u, (x,t) is an element of Omega x (0,T) under homogeneous Neumann boundary conditions partial derivative u/partial derivative nu = partial derivative upsilon/partial derivative nu = partial derivative omega/partial derivative nu = partial derivative z/partial derivative nu = 0,(x,t)is an element of partial derivative Omega x (0,T) and initial conditions u(x,0) = u(0)(x), upsilon(x,0) = upsilon(0)(x), omega(x,0)=omega(0)(x), x is an element of Omega, in a bounded domain Omega subset of RN (N >= 1), where the parameters chi(1), mu(1), mu(2 )> 0 and eta(1), eta(2), chi(2 )is an element of R. It is proved that the corresponding initial-boundary value problem possesses a unique global bounded classical solution if one of the following cases holds: (i) chi 2 <0, (ii)chi 2>0 as well as mu(2) is large enough, which partially improves the results of [25]. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
dc.identifier.doi10.1016/j.jmaa.2025.129228
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85215419224
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2025.129228
dc.identifier.urihttps://hdl.handle.net/20.500.12403/6003
dc.identifier.volume545
dc.identifier.wosWOS:001403576900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal of Mathematical Analysis And Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260218
dc.subjectBoundedness
dc.subjectTwo-species chemotaxis
dc.subjectLogistic source
dc.titleNew results on the global dynamics for a two-species chemotaxis system with two chemicals and logistic sources
dc.typeArticle

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