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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…
Two-species chemotaxis-competition system with singular sensitivity: Global existence, boundedness, and persistence
Halil Ibrahim Kurt, Wenxian Shen
This paper is concerned with the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinetics, \begin{equation} \begin…
Chemotaxis systems with singular sensitivity and logistic source: Boundedness, persistence, absorbing set, and entire solutions
Halil Ibrahim Kurt, Wenxian Shen
This paper deals with the following parabolic-elliptic chemotaxis system with singular sensitivity and logistic source, \begin{equation} \begin{cases} u_t=Δu-χ\nabla\cdot (\frac{u}…
Finite-time blow-up prevention by logistic source in parabolic-elliptic chemotaxis models with singular sensitivity in any dimensional setting
Halil Ibrahim Kurt, Wenxian Shen
In recent years, a lot of attention has been drawn to the question of whether logistic kinetics is sufficient to enforce the global existence of classical solutions or to prevent f…