We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a
population density. In the first model a Laplace term represents the mutations. In the second …

We perform an asymptotic analysis of models of population dynamics with a fractional
Laplacian and local or nonlocal reaction terms. The first part of the paper is devoted to the …

This paper explores the long time/large space dynamics of the neural field equation with an
exponentially decaying initial data. By establishing a Harnack type inequality, we derive the …

We consider the Cauchy problem posed in the whole space for the following nonlocal heat
equation: u_t= J* uu, where J is a symmetric continuous probability density. Depending on …

Large deviation estimates for the following linear parabolic equation are studied:\[\frac
{\partial u}{\partial t}=\textrm {Tr}\Big (a (x) D^ 2u\Big)+ b (x)\cdot D u+\mathcal {L}[u](x),\] …

Cette these porte sur l'étude de phénomenes de concentrations dans certaines équations
intégro-différentielles issues de la dynamique des populations. Nous nous intéressons …