149 citations · 316 across the 36 of their papers we have counts for
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math.CA2010
Convergence to equilibrium in competitive Lotka-Volterra equations
Nicolas Champagnat, Pierre-Emmanuel Jabin, Gael Raoul
We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in two previous articles to prove th…
math.AP2010★ 27 cited
The evolutionary limit for models of populations interacting competitively with many resources
Nicolas Champagnat, Pierre-Emmanuel Jabin
We consider a integro-differential nonlinear model that describes the evolution of a population structured by a quantitative trait. The interactions between traits occur from compe…
math.AP2010
Differential Equations with singular fields
Pierre-Emmanuel Jabin
This paper investigates the well posedness of ordinary differential equations and more precisely the existence (or uniqueness) of a flow through explicit compactness estimates. Ins…