87 citations · 396 across the 37 of their papers we have counts for
3 papers · 2 filters
Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems
Anna Marciniak-Czochra, Grzegorz Karch, Kanako Suzuki +1
In this paper we provide an example of a class of two reaction-diffusion-ODE equations with homogeneous Neumann boundary conditions, in which Turing-type instability not only desta…
Stable patterns with jump discontinuity in systems with Turing instability and hysteresis
Steffen Härting, Anna Marciniak-Czochra, Izumi Takagi
Classical models of pattern formation are based on diffusion-driven instability (DDI) of constant stationary solutions of reaction-diffusion equations, which leads to emergence of…
The Escalator Boxcar Train method for a system of aged-structured equations
Piotr Gwiazda, Karolina Kropielnicka, Anna Marciniak-Czochra
The Escalator Boxcar Train method (EBT) is a numerical method for structured population models of McKendrick-von Foerster type. Those models consist of a certain class of hyperboli…