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Journal of Statistical Physics

, Volume 152, Issue 2, pp 388–398 | Cite as

Rates of Convergence for the Three State Contact Process in One Dimension

  • A. Tzioufas
Article
  • 111 Downloads

Abstract

The basic contact process with parameter μ altered so that infections of sites that have not been previously infected occur at rate proportional to λ instead is considered. Emergence of an infinite epidemic starting out from a single infected site is not possible for μ less than the contact process’ critical value, whereas it is possible for μ greater than that value. In the former case the space and time infected regions are shown to decay exponentially; in the latter case and for λ greater than μ, the ratio of the endmost infected site’s velocity to that of the contact process is shown to be at most λ/μ.

Keywords

Contact processes Immunization 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Buenos AiresArgentina

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