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Multitype contact process with sterile states
Nicolas Lanchier, Max Mercer, Hyunsik Yun
This paper considers a natural variant of the -dimensional multitype contact process in which individuals can be fertile or sterile. Fertile individuals of type give birth t…
Contact process for the spread of knowledge
Nicolas Lanchier, Max Mercer, Hyunsik Yun
This paper is concerned with a natural variant of the contact process modeling the spread of knowledge on the integer lattice. Each site is characterized by its knowledge, measured…
Evolutionary games on the lattice: multitype contact process with density-dependent birth rates
Jonas Köppl, Nicolas Lanchier, Max Mercer
Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied…
Survival and extinction for a contact process with a density-dependent birth rate
Jonas Köppl, Nicolas Lanchier, Max Mercer
To study later spatial evolutionary games based on the multitype contact process, we first focus in this paper on the conditions for survival/extinction in the presence of only one…
Limiting behavior of a kindness model
Nicolas Lanchier, Max Mercer
This paper is concerned with a stochastic model for the spread of kindness across a social network. Individuals are located on the vertices of a general finite connected graph, and…
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…
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…
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…