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math.AP2022
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…
math.AP2022
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}…