The evolution of a population whose size is described by a first order stochastic differential equation is investigated. Starting with a deterministic regulated growth model, a parameterization is made that implies random fluctuations of the population's carrying capacity. Contrary to other instances discussed in the current literature, for a Gompertz growth model it is proved that persistence of the population in the environment is independent of the intensity of the environmental fluctuations
Growth and extinction in random environment
NOBILE, Amelia Giuseppina;
1980
Abstract
The evolution of a population whose size is described by a first order stochastic differential equation is investigated. Starting with a deterministic regulated growth model, a parameterization is made that implies random fluctuations of the population's carrying capacity. Contrary to other instances discussed in the current literature, for a Gompertz growth model it is proved that persistence of the population in the environment is independent of the intensity of the environmental fluctuationsFile in questo prodotto:
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