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The contact process

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Stochastic Modeling

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Abstract

In this chapter, we prove that, similarly to the other invasion models introduced in this textbook, the contact process exhibits a phase transition: There is a critical birth parameter above which the process starting with one individual survives with positive probability but below which it goes extinct eventually with probability one.

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References

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Lanchier, N. (2017). The contact process. In: Stochastic Modeling. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-50038-6_15

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