Host-parasite models on graphs
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© 2005 American Physical Society (APS). This is the accepted version of the following article: Peltomäki, Matti & Vuorinen, Ville & Alava, Mikko J. & Rost, Martin. 2005. Host-parasite models on graphs. Physical Review E. Volume 72, Issue 4. 046134/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.72.046134, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.72.046134.
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School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2005
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Language
en
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046134/1-9
Series
Physical Review E, Volume 72, Issue 4
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.Description
Keywords
population models, reaction-diffusion systems, hosts, parasites, Cayley trees, scale-free networks
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Citation
Peltomäki, Matti & Vuorinen, Ville & Alava, Mikko J. & Rost, Martin. 2005. Host-parasite models on graphs. Physical Review E. Volume 72, Issue 4. 046134/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.72.046134.