Stability for Lotka-Volterra models with delays
Teresa Faria
CMAF/ U Lisbon
Portugal

Abstract

We address the global stability of a non-negative saturated equilibrium x^*=(x₁^*,..., x_n^*) for a multi-species Lotka-Volterra model with delays and instantaneous negative feedbacks. If x^* is a global attractor of all positive solutions, then if x_i^*>0 the i-species stabilizes with time at the value x_i^*, while the i-species will become extinct if x_i^*=0.

Jornada Matemática SPM/CIM "Mathematical Biology"