ON SOME FRACTIONAL MODELS OF LOTKA-VOLTERRA

In this paper, we study two fractional models of Lotka-Volterra. We begin by recalling the fundamental notions of fractional analysis. Then we proceed in a second step to give the description of the Adomian method and we finish our work with the description and resolution of some fractional models of Lotka-Volterra. In the first two models, we introduce diffusion terms. In the third, we try to model a food chain with three populations, by putting two species in competition for food (rabbits and sheep), and by introducing a predatory species (wolves).