6 citations · 6 across the 5 of their papers we have counts for
5 papers
Boundedness and asymptotic stability in a model for tuberculosis granuloma formation
Masaaki Mizukami, Yuya Tanaka
This paper deals with a problem which describes tuberculosis granuloma formation \begin{align*} \begin{cases} u_t = Δu - \nabla \cdot (u \nabla v) - uv - u + β, &x \in Ω,\ t>0, \\…
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…
Switching particle systems for foraging ants showing phase transitions in path selections
Ayana Ezoe, Saori Morimoto, Yuya Tanaka +2
Switching interacting particle systems studied in probability theory are the stochastic processes of hopping particles on a lattice made up of slow and fast particles, where the sw…
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),…
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})…