Boundedness in a quasilinear chemotaxis–haptotaxis model of parabolic–parabolic–ODE type
Abstract This paper deals with the boundedness of solutions to the following quasilinear chemotaxis–haptotaxis model of parabolic–parabolic–ODE type: {ut=∇⋅(D(u)∇u)−χ∇⋅(u∇v)−ξ∇⋅(u∇w)+μu(1−ur−1−w),x∈Ω,t>0,vt=Δv−v+uη,x∈Ω,t>0,wt=−vw,x∈Ω,t>0, $$ \textstyle\begin{cases} u_{t}=\nabla \cdot (D(u)\...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-08-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1255-4 |