Stochastic resonance for two competing species in the presence of colored noise

Details Stochastic resonance for two competing species in the presence of colored noise Stochastic resonance for two competing species in the presence of colored noise

2003-10-24

arxiv.org/abs/cond-mat/0310587v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 7 figures, 22 panels. To appear in Modern Problems in Statistical Physics

Scientific paper

We study the role of multiplicative colored noise for different values of the correlation time $\tau_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise 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. The bistable potential is useful to describe the coexistence and exclusion dynamical regimes of the ecosystem. Noise-induced periodic oscillations of the species concentrations and stochastic resonance phenomenon appear due to the presence of the multiplicative noise. We find that for low values of the correlation time $\tau_c$ the response of the system coincides with that obtained with multiplicative white noise. For higher values of $\tau_c$ the coherent response of the system and the maximum of the signal-to-noise ratio, signature of the stochastic resonance phenomenon, are shifted towards higher values of the noise intensity.

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