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math.AP2024
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…
math.AP2024
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…
math.AP2024
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…