STATIONARY SOLUTIONS OF A VOLUME-FILLING CHEMOTAXIS MODEL WITH LOGISTIC GROWTH AND THEIR STABILITY

• Published in: SIAM journal on applied mathematics Vol. 72; no. 3; pp. 740 - 766
• Main Authors: MA, MANJUN, OU, CHUNHUA, WANG, ZHI-AN
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2012
• Subjects: Aggregation; Applied mathematics; Asymptotic properties; Bifurcations; Boundary conditions; Cell aggregates; Chemotaxis; Eigenvalues; Eigenvectors; Estimating; Integers; Logistics; Mathematical models; Modeling; Morphogenesis; Parametric models; Position (location); Simulation; Stability

In this paper, we derive the conditions for the existence of stationary solutions (i.e., nonconstant steady states) of a volume-filling chemotaxis model with logistic growth over a bounded domain subject to homogeneous Neumann boundary conditions. At the same time, we show that the same system witho...