Host-parasite models on graphs

Loading...
Thumbnail Image
Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2005
Major/Subject
Mcode
Degree programme
Language
en
Pages
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
Other note
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.