6 citations · 6 across the 4 of their papers we have counts for
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Global existence and boundedness in a chemotaxis-convection model with sensitivity functions for tumor angiogenesis
Yutaro Chiyo, Masaaki Mizukami
This paper deals with the fully parabolic chemotaxis-convection model with sensitivity functions for tumor angiogenesis, \begin{align*} \begin{cases} u_t=Δu-\nabla \cdot (uχ_1(v)\n…
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})…
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,…
How far does small chemotactic interaction perturb the Fisher-KPP dynamics?
Johannes Lankeit, Masaaki Mizukami
This paper deals with nonnegative solutions of the Neumann initial-boundary value problem for the fully parabolic chemotaxis-growth system $=Δu_{\varepsilon}…