397 citations · 397 across the 4 of their papers we have counts for
4 papers · 1 filter
Invasion dynamics with vanishing fitness for a quasi-critical birth-death process
Vincent Bansaye, Nadia Belmabrouk, Xavier Erny +1
We study the invasion dynamics of populations exhibiting positive density-dependent effects. We start with a single individual and consider a single-type birth and death process. T…
Competitive exclusion and coexistence in a model with age-structured resource
Simon Girel, Quentin Richard
In this paper, we introduce and analyse a model in which a shared, age-structured resource is exploited by two competing populations through age-dependent interaction kernels. It p…
On the global asymptotic stability of an infection-age structured competitive model
Simon Girel, Quentin Richard
We investigate an infection-age structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maxim…
How delay, isolation and vaccination shape epidemic waves: a bifurcation approach in mathematical epidemiology
Mehdi Bouziane, Silia Bercisse, Abdennasser Chekroun +1
This research paper introduces an SQIR-V epidemic model to investigate the transmission of infectious diseases. Particular attention is paid to the roles of vaccination and quarant…