interacting particle systems 1muller's ratchet 1partial differential equations 1scaling limits 1spatial population models 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.PR2026
A functional law of large numbers for a spatial model of Muller's ratchet
João Luiz de Oliveira Madeira, Marcel Ortgiese, Sarah Penington
The paper proves that a spatial version of Muller's ratchet, modeled by interacting random-walking particles with mutation-dependent reproduction rates, converges under scaling to…
math.PR2026
Existence, uniqueness and moment bounds for a spatial model of Muller's ratchet
João Luiz de Oliveira Madeira, Marcel Ortgiese, Sarah Penington
In this article, we consider a generalisation of the spatial Muller's ratchet introduced by Foutel-Rodier and Etheridge. This particle system is a spatial model of an asexual popul…