30 citations · 46 across the 8 of their papers we have counts for
9 papers
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…
Global stability in an age-structured SIRS malaria transmission model
Seraphin Djaoue, Quentin Richard, Antoine Perasso +1
This paper proposes and analyzes a malaria transmission model structured by the chronological age of the human host population. The model couples an age-structured SIRS system for…
Human-vector malaria transmission model structured by age, time since infection and waning immunity
Quentin Richard, Marc Choisy, Thierry Lefèvre +1
In contrast to the many theoretical studies on the transmission of human-mosquitoes malaria infection, few studies have considered a multiple structure model formulations including…
Concentration estimates in a multi-host epidemiological model structured by phenotypic traits
Jean-Baptiste Burie, Arnaud Ducrot, Quentin Griette +1
In this work we consider an epidemic system modelling the evolution of a spore-producing pathogen within a multi-host population of plants. Here we focus our analysis on the study…
Global stability in a competitive infection-age structured model
Quentin Richard
We study a competitive infection-age structured SI model between two diseases. The well-posedness of the system is handled by using integrated semigroups theory, while the existenc…
Asymptotic behavior of age-structured and delayed Lotka-Volterra models
Antoine Perasso, Quentin Richard
In this work we investigate some asymptotic properties of an age-structured Lotka-Volterra model, where a specific choice of the functional parameters allows us to formulate it as…
Spectral theory and time asymptotics of size-structured two-phase population models
Mustapha Mokhtar-Kharroubi, Quentin Richard
This work provides a general spectral analysis of size-structured two-phase population models. Systematic functional analytic results are given. We deal first with the case of fini…
Well-posedness and positivity property for a reaction-diffusion model of plankton communities, involving a rational nonlinearity with singularity
Antoine Perasso, Quentin Richard, Irene Azzali +1
In this work, we consider a reaction-diffusion system, modeling the interaction between nutrients, phytoplanktons and zooplanktons. Using a semigroup approach in , we prove gl…