Positive control of Lotka-Volterra systems

Frédéric Grognard (1) , Jean-Luc Gouzé (1)

1 COMORE - Modeling and control of renewable resources

We consider the n-dimensional Lotka-Volterra system of differential equation representing the predator-prey interaction between n species. In this paper, we will try to control the system by the mean of a sign-definite control law that is based on a classical Lyapunov function for Lotka-Volterra-systems.Copyright c 2005 IFAC

Mots clés: Predator-Prey; Lotka-Volterra; Positive control; Lyapunov design

Domaines: Optimisation et contrôle [math.OC]; Automatique

Frédéric Grognard, Jean-Luc Gouzé. Positive control of Lotka-Volterra systems. 16th IFAC World Congress, Jul 2005, Prague, Czech Republic. ⟨10.3182/20050703-6-CZ-1902.00724⟩. ⟨hal-01091732⟩