output
20092025
most citedOn a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

234 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2013 · math.APShow all

5 papers · 2 filters

math.AP2013★ 22 cited

Convergence to equilibrium for positive solutions of some mutation-selection model

Jerome Coville

In this paper we are interested in the long time behaviour of the positive solutions of the mutation selection model with Neumann Boundary condition: $$ \frac{\partial u(x,t)}{dt}=…

math.AP2013

Nonlocal refuge model with a partial control

Jerome Coville

In this paper, we analyse the structure of the set of positive solutions of an heterogeneous nonlocal equation of the form: $$ \int_Ω K(x, y)u(y)\,dy -\int_ ΩK(y, x)u(x)\, dy + a_0…

math.AP2013★ 1 cited

Bistable travelling waves for nonlocal reaction diffusion equations

Matthieu Alfaro, Jerome Coville, Gael Raoul

We are concerned with travelling wave solutions arising in a reaction diffusion equation with bistable and nonlocal nonlinearity, for which the comparison principle does not hold.…

math.AP2013

Singular measure as principal eigenfunction of some nonlocal operators

Jerome Coville

In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular…

math.AP2013★ 9 cited

Convergence to the Equilibrium in a Lotka-Volterra Ode Competition System with Mutations

Jerome Coville, Frederic Fabre

In this paper we are investigating the long time behaviour of the solution of a mutation competition model of Lotka-Volterra's type. Our main motivation comes from the analysis of…