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An Inhomogeneous Contact Process Model for Speciation

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Abstract

We propose the following model on \(\mathbb{Z}^{+}\) for speciation and extinction. A species at site i gives birth to a new species at site j at rate λp(i,j) where i and j are nearest neighbors. A death at site i occurs at rate δ i . We show that the existence of a phase transition in λ depends critically on the value of the limit of \(\frac{p(n,n+1)}{\delta_{n}}\).

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  1. University of Colorado, Colorado Springs, USA

    Rinaldo B. Schinazi

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  1. Rinaldo B. Schinazi
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Correspondence to Rinaldo B. Schinazi.

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Schinazi, R.B. An Inhomogeneous Contact Process Model for Speciation. J Stat Phys 151, 980–984 (2013). https://doi.org/10.1007/s10955-013-0739-3

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  • DOI: https://doi.org/10.1007/s10955-013-0739-3

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