234 citations · 706 across the 25 of their papers we have counts for
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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: $$ \frac{\partial u(x,t)}{dt}=…
Nonlocal refuge model with a partial control
Jerome Coville
In this paper, we analyse the structure of the set of positive solutions of an heterogeneous nonlocal equation of the form: $$ \int_Ω K(x, y)u(y)\,dy -\int_ ΩK(y, x)u(x)\, dy + a_0…
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.…
Harnack type inequality for positive solution of some integral equation
Jerome Coville
In this paper, we establish some Harnack type inequalities satisfied by positive solutions of nonlocal inhomogeneous equations arising in the description of various phenomena rangi…
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…
Pulsating fronts for nonlocal dispersion and KPP nonlinearity
Jerome Coville, Juan Davila, Salome Martinez
In this paper we are interested in propagation phenomena for nonlocal reaction-diffusion equations of the type: , where J is…