397 citations · 397 across the 4 of their papers we have counts for
6 papers
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…
Model-based assessment of the Role of Uneven Partitioning of Molecular Content on Heterogeneity and Regulation of Differentiation in CD8 T-cell Immune Responses
Simon Girel, Christophe Arpin, Jacqueline Marvel +2
Activation of naive CD8 T-cells can lead to the generation of multiple effector and memory subsets. Multiple parameters associated with activation conditions are involved in genera…
Existence and stability of periodic solutions of an impulsive differential equation and application to CD8 T-cell differentiation
Simon Girel, Fabien Crauste
Unequal partitioning of the molecular content at cell division has been shown to be a source of heterogeneity in a cell population. We propose to model this phenomenon with the hel…