Steady states and pattern formation of the density-suppressed motility model

• Published in: IMA journal of applied mathematics Vol. 86; no. 3; pp. 577 - 603
• Main Authors: Wang, Zhi-An, Xu, Xin
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.06.2021
• Subjects: stationary solutions; Helly compactness theorem; density-suppressed motility; pattern formation; global bifurcation theory

Abstract This paper considers the stationary problem of density-suppressed motility models proposed in Fu et al. (2012) and Liu et al. (2011) in one dimension with Neumman boundary conditions. The models consist of parabolic equations with cross-diffusion and degeneracy. We employ the global bifurca...