3 papers
math.DS2024
Explicit propagation reversal bounds for bistable differential equations on trees
Petr StehlÃk
In this paper we provide explicit description of the pinning region and propagation reversal phenomenon for the bistable reaction diffusion equation on regular biinfinite trees. In…
math.AP2024
Heterogeneous carrying capacities and global extinction in metapopulations
Jakub Hesoun, Petr StehlÃk
In this paper we consider a simple two patch reaction diffusion model with strong Allee effect, sufficiently distinct carrying capacities, similar reaction strengths, and strong di…
math.DS2024
Traveling Waves in Bistable Reaction-Diffusion Cellular Automata
Daniel Å pale, Petr StehlÃk
We describe various types of traveling fronts of bistable reaction-diffusion cellular automata. These dynamical systems with discrete time, space, and state spaces can be seen as f…