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math.AP2024
Well-posedness of Keller-Segel systems on compact metric graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
Chemotaxis phenomena govern the directed movement of micro-organisms in response to chemical stimuli. In this paper, we investigate two Keller--Segel systems of reaction-advection-…
math.AP2023
Stability and bifurcation for logistic Keller--Segel models on compact graphs
Hewan Shemtaga, Wenxian Shen, Selim Sukhtaiev
This paper concerns asymptotic stability, instability, and bifurcation of constant steady state solutions of the parabolic-parabolic and parabolic-elliptic chemotaxis models on met…