Host-parasite models on graphs

Matti Peltomäki, Ville Vuorinen, Mikko Alava, and Martin Rost
Phys. Rev. E 72, 046134 – Published 25 October 2005

Abstract

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.

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  • Received 26 October 2004

DOI:https://doi.org/10.1103/PhysRevE.72.046134

©2005 American Physical Society

Authors & Affiliations

Matti Peltomäki, Ville Vuorinen, and Mikko Alava

  • Laboratory of Physics, Helsinki University of Technology, P. O. Box 1100, 02015 HUT, Finland

Martin Rost

  • Bereich Theoretische Biologie, IZMB, Universität Bonn, Kirschallee 1, 53115 Bonn, Germany

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Issue

Vol. 72, Iss. 4 — October 2005

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