Dynamique d’un modèle Lotka-Volterra avec deux prédateurs et une proie et un retard

Abstract

This memory, we study the global dynamics of a class of eight parameter three dimensional Lotka-Volterra systems. This system describes two predators competing for the same food, that is to say, they share a prey. By theoretical analysis on this system, we obtain sufficient and necessaries conditions for the exclusion and coexistence of the three species. By taking into account the delays in interactions between these species, delays can be caused by various factors, such as the digestion time of predators or the gestation period of prey.