most citedCan chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?

6 citations · 6 across the 2 of their papers we have counts for

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2 papers

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})…

math.AP2017

A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity

Masaaki Mizukami, Tomomi Yokota

This paper deals with the Keller--Segel system with signal-dependent sensitivity \begin{equation*} u_t=Δu - \nabla \cdot (u χ(v)\nabla v), \quad v_t=Δv + u - v, \quad x\inΩ,\ t>0,…