Yazarlar

• Akkoyunlu, Ebubekir(1)
• Ayazoglu, Rabil(1)
• Ekincioglu, Ismail(1)

• MakaleAçık Erişim2025Scopus SJRQ2/r/bayburt/12689
  On an attraction-repulsion chemotaxis model involving logistic source

  Akkoyunlu, Ebubekir

  This paper is concerned with the attraction-repulsion chemotaxis system involving logistic source: ut = ∆u − χ∇ · (u∇υ) + ξ∇ · (u∇ω) + f(u), ρυt = ∆υ − α1υ + β1u, ρωt = ∆ω − α2ω + β2u under homogeneous Neumann boundary conditions with nonnegative initial data (u0, υ0, ω0) (W1,∞ (Ω))3,the parameters χ, ξ,α1, α2, β1, β2 > 0, ρ ≥ 0 subject to the non-flux boundary conditions in a bounded domain Ω c RN (N ≥ 3) with smooth boundary and f(u) ≤ au − µu2 with f(0) ≥ 0 and a ≥ 0, µ > 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 χ + ξ <µ/2 and there exists a constant β* > 0 is sufficiently small for all β1, β2 < β*.

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• MakaleYalnız künye2025Scopus SJRQ1/r/bayburt/11408
  New results on the global dynamics for a two-species chemotaxis system with two chemicals and logistic sources

  Ayazoglu, Rabil; Ekincioglu, Ismail

  This 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].

  AtıfScopus2·WoS2·OpenAlex2

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