290 citations · 621 across the 18 of their papers we have counts for
18 papers
Characterizing spatiotemporal patterns in three-state lattice models
Matti Peltomaki, Martin Rost, Mikko Alava
A two-species spatially extended system of hosts and parasitoids is studied. There are two distinct kinds of coexistence; one with populations distributed homogeneously in space an…
Oscillations and patterns in interacting populations of two species
Matti Peltomaki, Martin Rost, Mikko Alava
Interacting populations often create complicated spatiotemporal behavior, and understanding it is a basic problem in the dynamics of spatial systems. We study the two-species case…
Fluctuations in fluid invasion into disordered media
Martin Rost, Lasse Laurson, Martin Dube +1
Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For f…
Egocentric Path Integration Models and their Application to Desert Arthropods
Tobias Merkle, Martin Rost, Wolfgang Alt
Path integration enables desert arthropods to find back to their nest on the shortest track from any position. To perform path integration successfully, speeds and turning angles a…
Host--parasite models on graphs
Matti Peltomaki, Ville Vuorinen, Mikko Alava +1
The behavior of two interacting populations, ``hosts''and ``parasites'', is investigated on Cayley trees and scale-free networks. In the former case analytical and numerical argume…
Continuum models for surface growth
Martin Rost
As an introductory lecture to the workshop an overview is given over continuum models for homoepitaxial surface growth using partial differential equations (PDEs). Their {\em heuri…