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cond-mat.stat-mech2023
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…
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),…