• DOI:10.1016/J.JDE.2017.03.016
Corpus ID: 125855827

Global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant

@article{Pang2017GlobalEO,
  title={Global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant},
  author={P. Pang and Y. Wang},
  journal={Journal of Differential Equations},
  year={2017},
  volume={263},
  pages={1269-1292}
}

• P. Pang, Y. Wang
• Published 2017
• Mathematics
• Journal of Differential Equations

Abstract This paper deals with the cancer invasion model { u t = Δ u − χ ∇ ⋅ ( u ∇ v ) − ξ ∇ ⋅ ( u ∇ w ) + μ u ( 1 − u − w ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t > 0 , w t = − v w + η w ( 1 − w − u ) , x ∈ Ω , t > 0 in a bounded smooth domain Ω ⊂ R 2 with zero-flux boundary conditions, where χ , ξ , μ and η are positive parameters. Compared to previous mathematical studies, the novelty here lies in: first, our treatment of the full parabolic chemotaxis–haptotaxis system; and second… Expand

View via Publisher

Save to Library

Create Alert

Cite

Launch Research Feed