Coexistence in a two-type continuum growth model

Abstract

We consider a stochastic model describing the growth of two competing infections on ℝ d . The growth takes place by way of spherical outbursts in the infected region, an outburst in the type-1 or -2 infected region causing all previously uninfected points within a stochastic distance from the outburst location to become type-1 or -2 infected, respectively. The main result is that, if the infection types have the same intensity, then there is a strictly positive probability that both infection types grow unboundedly.

Locations

• Advances in Applied Probability - View
• arXiv (Cornell University) - View - PDF