Boundedness in a quasilinear attraction–repulsion chemotaxis system with nonlinear sensitivity and logistic source

Abstract In this paper, we deal with the following quasilinear attraction–repulsion model: {ut=∇⋅(D(u)∇u)−∇⋅(S(u)χ(v)∇v)+∇⋅(F(u)ξ(w)∇w)+f(u),x∈Ω,t>0,vt=Δv+βu−αv,x∈Ω,t>0,0=Δw+γu−δw,x∈Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω $$ \textstyle\begin{cases} u_{t}=\nabla \cdot (D(u)\nabla u)-\nabla \cdot...

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Bibliographic Details
Main Authors: Lijun Yan, Zuodong Yang
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1232-y