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A stochastic model for competing growth on R^d
[article]
2015
arXiv
pre-print
A stochastic model, describing the growth of two competing infections on R^d, is introduced. The growth is driven by outbursts in the infected region, an outburst in the type 1 (2) infected region transmitting the type 1 (2) infection to the previously uninfected parts of a ball with stochastic radius around the outburst point. The main result is that with the growth rate for one of the infection types fixed, mutual unbounded growth has probability zero for all but at most countably many values
arXiv:1509.06961v1
fatcat:kmctu2mtcng4hglcjh4opybpbe