Sascha Franck

collaborators

2 papers

math.PR2026

A phase transition for a spatial host-parasite model with extreme host immunities on $Z^{d}$ and $T_{d}$

Sascha Franck

We investigate a model of a parasite population invading spatially distributed immobile hosts on a graph, which is a modification of the frog model. Each host has an unbreakable im…

math.PR2025

A spatial host-parasite model with host immunity: Survival and linear spread of parasites on $Z$

Sascha Franck, Cornelia Pokalyuk

We introduce a generalized version of the frog model to describe the invasion of a parasite population in a spatially structured immobile host population with host immunity on the…

A phase transition for a spatial host-parasite model with extreme host immunities on Zd and Td​

A spatial host-parasite model with host immunity: Survival and linear spread of parasites on Z

A phase transition for a spatial host-parasite model with extreme host immunities on $Z^{d}$ and $T_{d}$

A spatial host-parasite model with host immunity: Survival and linear spread of parasites on $Z$