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math.PR2025
Spatially dense stochastic epidemic models with infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study an individual-based stochastic spatial epidemic model where the number of locations and the number of individuals at each location both grow to infinity. Each individual i…
math.PR2024
Metastability between the clicks of Muller's ratchet
Mauro Mariani, Etienne Pardoux, Aurélien Velleret
We prove the existence and uniqueness of a quasi-stationary distribution for three stochastic processes derived from the model of Muller's ratchet. This model was invented with the…