Global boundedness in quasilinear attraction–repulsion chemotaxis system with logistic source

• Published in: Nonlinear analysis: real world applications Vol. 30; pp. 1 - 15
• Main Authors: Tian, Miaoqing, He, Xiao, Zheng, Sining
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2016
• Subjects: Attraction; Attraction–repulsion; Boundaries; Boundedness; Chemotaxis; Constants; Logistic source; Logistics; Lower bounds; Nonlinearity; Quasilinear; Upper bounds; Logistic source; Chemotaxis; Boundedness; Attraction–repulsion; Quasilinear

This paper studies the quasilinear attraction–repulsion chemotaxis system with logistic source ut=∇⋅(D(u)∇u)−χ∇⋅(Φ(u)∇v)+ξ∇⋅(Ψ(u)∇w)+f(u), τvt=Δv+αu−βv, τ∈{0,1}, 0=Δw+γu−δw, in bounded domain Ω⊂RN, N≥1, subject to the homogeneous Neumann boundary conditions, D,Φ,Ψ∈C2[0,+∞) nonnegative, with D(s)≥(s+...