Chiyo, YutaroMizukami, MasaakiYokota, Tomomi2022-10-072022-10-072021-09-10Chiyo, Y., Mizukami, M., & Yokota, T. (2021). Existence of bounded global solutions for fully parabolic attraction-repulsion chemotaxis systems with signal-dependent sensitivities and without logistic source. <i>Electronic Journal of Differential Equations, 2021</i>(71), pp. 1-10.1072-6691https://hdl.handle.net/10877/16201This article concerns the parabolic attraction-repulsion chemo-taxis system with signal-dependent sensitivities ut = ∆u - ∇ ∙ (uχ(v)∇v) + ∇ ∙ (uξ(w)∇w), x ∈ Ω, t > 0, vt = ∆v - v + u, x ∈ Ω, t > 0, wt = ∆w - w + u, x ∈ Ω, t > 0 under homogeneous Neumann boundary conditions and initial conditions, where Ω ⊂ ℝn (n ≥ 2) is a bounded domain with smooth boundary, χ, ξ are functions satisfying certain conditions. Existence of bounded global classical solutions to the system with logistic source and logistic damping have been obtained in [1]. This article establishes the existence of global bounded classical solutions with logistic damping.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalChemotaxisAttraction-repulsionExistenceBoundednessArticle