Theory of Probability and Mathematical Statistics
Persistence and extinction in stochastic nonautonomous logistic model of population dynamics
O. D. Borysenko, D. O. Borysenko
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Abstract: It is investigated the non-autonomous logistic differential equation with disturbance of rate of population growth coefficient by white noise, centered and non-centered Poisson noises. The sufficient conditions for the population extinction a.s., non-persistence of the population in the mean a.s., weak persistence of the population in the mean a.s., strong persistence of the population in the mean a.s. are obtained.
Keywords: Stochastic non-autonomous logistic differential equation, centered and non-centered Poisson noise, extinction, non-persistence in the mean, weak persistence in the mean, strong persistence in the mean.
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