Chase-escape with conversion on the complete graph

Matthew Junge; Sergio Rodríguez

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arXiv · 2510.02446

Chase-escape with conversion on the complete graph

Matthew Junge·Sergio Rodríguez

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Abstract

We prove that chase-escape with conversion on the complete graph undergoes a phase transition at equal fitness and derive simple asymptotic formulas for the extinction probability, the total number of converted sites, and the expected number of surviving sites.

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Matthew Junge, Sergio Rodríguez. 2025-10-02. Chase-escape with conversion on the complete graph. https://arxiv.org/abs/2510.02446

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