  We study the role of the noise in the dynamics of two competing species. We
consider generalized Lotka-Volterra equations in the presence of a
multiplicative noise, which models the interaction between the species and the
environment. The interaction parameter between the species is a random process
which obeys a stochastic differential equation with a generalized bistable
potential in the presence of a periodic driving term, which accounts for the
environment temperature variation. We find noise-induced periodic oscillations
of the species concentrations and stochastic resonance phenomenon. We find also
a nonmonotonic behavior of the mean extinction time of one of the two competing
species as a function of the additive noise intensity.
