2026-10-29T23:44:42Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/114082026-10-29T19:41:32Zopenairecom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

New results on the global dynamics for a two-species chemotaxis system with two chemicals and logistic sourcesAyazoglu, RabilEkincioglu, IsmailBoundednessLogistic sourceTwo-species chemotaxisThis paper deals with the following competitive two-species chemotaxis system with two chemicals with a source term of logistic type ut=Δu−χ1∇⋅(u∇υ)+η1u−μ1u2, υt=Δυ−υ+ω, ωt=Δω−χ2∇⋅(ω∇z)+η2ω−μ2ω2, 0=Δz−z+u, (x,t)∈Ω×(0,T) under homogeneous Neumann boundary conditions [Formula presented] and initial conditions u(x,0)=u0(x), υ(x,0)=υ0(x), ω(x,0)=ω0(x), x∈Ω, in a bounded domain Ω⊂RN (N≥1), where the parameters χ1, μ1, μ2>0 and η1, η2, χ2∈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)χ2≤0, (ii)χ2>0 as well as μ2 is large enough, which partially improves the results of [25].Academic Press Inc.2025Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/11408https://doi.org/10.1016/j.jmaa.2025.1292280022-247XenJournal of Mathematical Analysis and Applicationsinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/11408