Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Raoul, Gaël"'
We consider a certain lattice branching random walk with on-site competition and in an environment which is heterogeneous at a macroscopic scale $1/\varepsilon$ in space and time. This can be seen as a model for the spatial dynamics of a biological p
Externí odkaz:
http://arxiv.org/abs/2105.06985
Autor:
Raoul, Gaël
We are interested in the dynamics of a population structured by a phenotypic trait. Individuals reproduce sexually, which is represented by a non-linear integral operator. This operator is combined to a multiplicative operator representing selection.
Externí odkaz:
http://arxiv.org/abs/2104.06089
Publikováno v:
2020, Journal of Mathematical Biology
In this paper we introduce a formal method for the derivation of a predator's functional response from a system of fast state transitions of the prey or predator on a time scale during which the total prey and predator densities remain constant. Such
Externí odkaz:
http://arxiv.org/abs/1907.07249
Autor:
Raoul, Gaël
We consider model arising from evolutionary biology, where the population is structured by two variable: a spatial variable, and a phenotypic trait. The model combines a parabolic operator on the space variable to a kinetic operator on the trait vari
Externí odkaz:
http://arxiv.org/abs/1706.04094
We describe the accelerated propagation wave arising from a non-local reaction-diffusion equation. This equation originates from an ecological problem, where accelerated biological invasions have been documented. The analysis is based on the comparis
Externí odkaz:
http://arxiv.org/abs/1512.00903
We consider a population structured by a spacevariable and a phenotypical trait, submitted to dispersion,mutations, growth and nonlocal competition. We introduce theclimate shift due to {\it Global Warming} and discuss the dynamicsof the population b
Externí odkaz:
http://arxiv.org/abs/1511.05110
In this paper, we study the asymptotic (large time) behavior of a selection-mutation-competition model for a population structured with respect to a phenotypic trait, when the rate of mutation is very small. We assume that the reproduction is asexual
Externí odkaz:
http://arxiv.org/abs/1511.04961
Autor:
Magal, Pierre, Raoul, Gaël
We consider a cell population structured by a positive real number, describing the number of P-glycoproteins carried by the cell. We are interested in the effect of those proteins on the growth of the population: those proteins are indeed involve in
Externí odkaz:
http://arxiv.org/abs/1511.02665
Existence and qualitative properties of travelling waves for an epidemiological model with mutations
Autor:
Griette, Quentin, Raoul, Gaël
In this article, we are interested in a non-monotone system of logistic reaction-diffusion equations. This system of equations models an epidemics where two types of pathogens are competing, and a mutation can change one type into the other with a ce
Externí odkaz:
http://arxiv.org/abs/1412.6354
Publikováno v:
Evolution Letters; Jun2024, Vol. 8 Issue 3, p427-436, 10p
