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- Romi Mankin, Ain Ainsaar, Astrid Haljas, Eerik Reiter
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2002

An N-species Lotka-Volterra stochastic model of a symbiotic ecological system with the Verhulst self-regulation mechanism is considered. The effect of fluctuating environment on the carrying capacity of a population is modeled as the colored three-level Markovian (trichotomous) noise. In the framework of the mean-field theory an explicit self-consistencyâ€¦ (More)

- Romi Mankin, Ain Ainsaar, Astrid Haljas, Eerik Reiter
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2001

The dynamics of an overdamped Brownian particle in a piecewise linear spatially periodic potential subjected to both thermal and colored symmetric three-level Markovian (trichotomous) noises is investigated. In the case of large flatness, the exact formula for the stationary current is presented. The dependence of the current on the system parameters isâ€¦ (More)

- Romi Mankin, Astrid Haljas, Risto Tammelo, Dmitri Martila
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

The noise-flatness-induced hypersensitive transport of overdamped Brownian particles in a tilted ratchet system driven by multiplicative nonequilibrium three-level Markovian noise and additive white noise is considered. At low temperatures, the enhancement of current is very sensitive to the applied small static tilting force. It is established that theâ€¦ (More)

- Astrid Haljas, Romi Mankin, Ako Sauga, Eerik Reiter
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

Overdamped motion of Brownian particles in a 1D periodic system with a simple symmetric sawtooth potential subjected to both unbiased thermal noise and spatially nonhomogeneous three-level colored noise is considered analytically. Upon application of a tilting force the particles exhibit anomalous transport properties, namely, absolute negative mobility,â€¦ (More)

- Romi Mankin, Ako Sauga, Ain Ainsaar, Astrid Haljas, Kristiina Paunel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2004

A symbiotic ecosystem is studied by means of the Lotka-Volterra stochastic model, using the generalized Verhulst self-regulation. The effect of fluctuating environment on the carrying capacity of a population is taken into account as dichotomous noise. The study is a follow-up of our investigation of symbiotic ecosystems subjected to three-levelâ€¦ (More)

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