- Published 2005 in Physical review. E, Statistical, nonlinear, and…

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 arguments elucidate a phase diagram for the susceptible-infected-susceptible model, whose most interesting feature is the absence of a tricritical point as a function of the two independent spreading parameters. For scale-free graphs, the parasite population can be described effectively by its dynamics in a host background. This is shown both by considering the appropriate dynamical equations and by numerical simulations on Barabási-Albert networks with the major implication that in the thermodynamic limit the critical parasite spreading parameter vanishes. Some implications and generalizations are discussed.

@article{Peltomki2005HostparasiteMO,
title={Host-parasite models on graphs.},
author={Matti Peltom{\"a}ki and Ville Vuorinen and Mikko Alava and Martin Rost},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2005},
volume={72 4 Pt 2},
pages={046134}
}