7 citations · 11 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
Predicting the Evolution of Gene in the Yeast Saccharomyces Cerevisiae
Jacques M. Bahi, Christophe Guyeux, Antoine Perasso
Since the late `60s, various genome evolutionary models have been proposed to predict the evolution of a DNA sequence as the generations pass. Most of these models are based on nuc…
Criterion of positivity for semilinear problems with applications in biology
Michel Duprez, Antoine Perasso
The goal of this article is to provide an useful criterion of positivity and well-posedness for a wide range of infinite dimensional semilinear abstract Cauchy problems. This crite…
Relaxing the Hypotheses of Symmetry and Time-Reversibility in Genome Evolutionary Models
Jacques M. Bahi, Christophe Guyeux, Antoine Perasso
Various genome evolutionary models have been proposed these last decades to predict the evolution of a DNA sequence over time, essentially described using a mutation matrix. By ess…