82 citations · 403 across the 26 of their papers we have counts for
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About reaction-diffusion systems involving the Holling-type II and the Beddington-DeAngelis functional responses for predator-prey models
Fiammetta Conforto, Laurent Desvillettes, Cinzia Soresina
We consider in this paper a microscopic model (that is, a system of three reaction-diffusion equations) incorporating the dynamics of handling and searching predators, and show tha…
Homogenization of the discrete diffusive coagulation-fragmentation equations in perforated domains
Laurent Desvillettes, Silvia Lorenzani
The asymptotic behavior of the solution of an infinite set of Smoluchowski's discrete coagulation-fragmentation-diffusion equations with non-homogeneous Neumann boundary conditions…
Cross-diffusion systems and fast-reaction limits
E. S. Daus, L. Desvillettes, A. Jüngel
The rigorous asymptotics from reaction-cross-diffusion systems for three species with known entropy to cross-diffusion systems for two variables is investigated. The equations are…