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20042026
most citedFurther Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems

63 citations

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math.PR2014★ 61 cited

Lotka Volterra in fluctuating environment or "how switching between beneficial environments can make survival harder"

Michel Benaïm, Claude Lobry

We consider two dimensional Lotka-Volterra systems in fluctuating environment. Relying on recent results on stochastic persistence and piecewise deterministic Markov processes, we…

math.OC2014★ 1 cited

Dynamical modelling and optimal control of landfills

A. Rapaport, T. Bayen, M. Sebbah +2

We propose a simple model of landfill and study a minimal time control problem where the re-circulation leachate is the manipulated variable. We propose a scheme to construct the o…

math.OC2014

Optimal feedback synthesis and minimal time function for the bioremediation of water resources with two patches

Hector Ramirez, Alain Rapaport, Victor Riquelme

This paper studies the bioremediation, in minimal time, of a water resource or reservoir using a single continuous bioreactor. The bioreactor is connected to two pumps, at differen…

q-bio.PE2014

A modeling approach of the chemostat

Coralie Fritsch, Jérôme Harmand, Fabien Campillo

Population dynamics and in particular microbial population dynamics, though they are complex but also intrinsically discrete and random, are conventionally represented as determini…

math.OC2014★ 3 cited

A tree-growth model to optimize silviculture

Patrice Loisel, Jean-François Dhôte

In this paper, we present the description of a simplified model of the dynamic of a mono-specific even-aged forest. The model studied is a tree-growth model based on a system of tw…