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math.PR2023
Deffuant opinion dynamics with attraction and repulsion
Nicolas Lanchier, Max Mercer
In the Deffuant model, individuals are located on the vertices of a graph, and are characterized by their opinion, a number in . The dynamics depends on two parameters: a…
math.PR2023
The contact process with an asymptomatic state
Lamia Belhadji, Nicolas Lanchier, Max Mercer
In order to understand the cost of a potentially high infectiousness of symptomatic individuals or, on the contrary, the benefit of social distancing, quarantine, etc. in the cours…
math.PR2023
Durrett-Levin spatial model of allelopathy
Nicolas Lanchier, Max Mercer
Allelopathy refers to a type biological interaction that is neutral for a so-called inhibitory species but detrimental for a so-called susceptible species. To model this type…