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math.AP2025
To what extent does the consideration of positive total flux influence the dynamics of Keller-Segel-type models?
Khadijeh Baghaei, Silvia Frassu, Yuya Tanaka +1
Since the introduction of the Keller-Segel model in 1970 to describe chemotaxis (the interactions between cell distributions u and chemical distributions v), there has been a signi…
math.AP2023
Finite-time blow-up in a two species chemotaxis-competition model with degenerate diffusion
Yuya Tanaka
This paper is concerned with the two-species chemotaxis-competition model with degenerate diffusion, \[\begin{cases} u_t = Δu^{m_1} - χ_1 \nabla\cdot(u\nabla w) + μ_1 u (1-u-a_1v),…
math.AP2022★ 6 cited
Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?
Masaaki Mizukami, Yuya Tanaka, Tomomi Yokota
This paper deals with the two-species chemotaxis-competition models \begin{align*} \begin{cases} u_t = d_1 Δu - χ_1 \nabla \cdot (u \nabla w) + μ_1 u (1- u^{κ_1-1} - a_1 v^{λ_1-1})…