4 papers
Existence, uniqueness, stability, and monotonicity of traveling waves for repulsion/attraction chemotaxis models with logistic type source
Wenxian Shen
This paper is devoted to the study of existence, uniqueness, stability, and monotonicity of traveling wave solutions to the following parabolic-elliptic chemotaxis system with logi…
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
Le Chen, Ian Ruau, Wenxian Shen
We study, in Part I of this series, boundedness and global existence of positive classical solutions to a parabolic-elliptic chemotaxis system with signal-dependent sensitivity and…
The spreading of global solutions of chemotaxis systems with logistic source and consumption on
Zulaihat Hassan, Wenxian Shen, Yuming Paul Zhang
This paper investigates the spreading properties of globally defined bounded positive solutions of a chemotaxis system featuring a logistic source and consumption: \[ \left\{ \begi…
Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on : I. Global Solvability and Boundedness
Zulaihat Hassan, Wenxian Shen, Yuming Paul Zhang
This series of papers is concerned with the global solvability, boundedness, regularity, and uniqueness of weak solutions to the following parabolic-parabolic chemotaxis system wit…