https://doi.org/10.1140/epjb/e2010-00239-6
Two competing species in super-diffusive dynamical regimes
1
Dipartimento di Fisica e Tecnologie Relative, Group of
Interdisciplinary Physics (http://gip.dft.unipa.it) , Università di Palermo and CNISM-INFM, Unità di Palermo, Viale
delle Scienze, Edificio 18, I-90128 Palermo, Italy
2
N.I. Lobachevsky State University, 23 Gargarin Ave., Nizhniy Novgorod, 603950, Russia
Corresponding authors: a angelolc@gip.dft.unipa.it - b valentid@gip.dft.unipa.it - c spagnolo@unipa.it
Received:
3
February
2010
Revised:
11
June
2010
Published online:
6
August
2010
The dynamics of two competing species within the framework of the generalized Lotka-Volterra equations, in the presence of multiplicative α-stable Lévy noise sources and a random time dependent interaction parameter, is studied. The species dynamics is characterized by two different dynamical regimes, exclusion of one species and coexistence of both, depending on the values of the interaction parameter, which obeys a Langevin equation with a periodically fluctuating bistable potential and an additive α-stable Lévy noise. The stochastic resonance phenomenon is analyzed for noise sources asymmetrically distributed. Finally, the effects of statistical dependence between multiplicative noise and additive noise on the dynamics of the two species are studied.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010