7 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…
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…
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…
Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics
Halil Ibrahim Kurt, Wenxian Shen
The current paper is concerned with the stabilization in the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinet…
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source
Halil Ibrahim Kurt, Wenxian Shen, Shuwen Xue
In the current paper, we study stability, bifurcation, and spikes of positive stationary solutions of the following parabolic-elliptic chemotaxis system with singular sensitivity a…