Global existence of solutions to a chemotaxis‐haptotaxis model with density‐dependent jump probability and quorum‐sensing mechanisms

DOI10.1002/MMA.4883zbMath1397.92105OpenAlexW3099476874MaRDI QIDQ4581068

Tianyuan Xu, Jingxue Yin, Ming Mei, Shanming Ji

Publication date: 23 August 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4883

zbMATH Keywords

chemotaxisglobal existencenonlinear diffusionhaptotaxislogistic sourcecancer invasion model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17)

Related Items (3)

Early and late stage profiles for a chemotaxis model with density-dependent jump probability ⋮ A reducing mechanism on wave speed for chemotaxis systems with degenerate diffusion ⋮ Optimal control for a chemotaxis-haptotaxis model in two space dimensions

This page was built for publication: Global existence of solutions to a chemotaxis‐haptotaxis model with density‐dependent jump probability and quorum‐sensing mechanisms