Some problems arising when modeling population dynamics by means of stochastic difference and differential equations are discussed. For a particular parametrization of logistic growth equations limit diffusion processes are constructed and interpreted in the light of the Ito-Stratonovich controversy. An indirect confirmation of the validity of May's conjecture on the persistence of a population in a randomly varying environment is also obtained. An extension of these results to a wider class of growth equations is finally provided.
A cybernetic approach to population dynamics modeling / R. M., Capocelli; Ricciardi, LUIGI MARIA. - In: CYBERNETICS AND SYSTEMS. - ISSN 1087-6553. - STAMPA. - 9:3(1979), pp. 297-312. [10.1080/01969727908927611]
A cybernetic approach to population dynamics modeling
RICCIARDI, LUIGI MARIA
1979
Abstract
Some problems arising when modeling population dynamics by means of stochastic difference and differential equations are discussed. For a particular parametrization of logistic growth equations limit diffusion processes are constructed and interpreted in the light of the Ito-Stratonovich controversy. An indirect confirmation of the validity of May's conjecture on the persistence of a population in a randomly varying environment is also obtained. An extension of these results to a wider class of growth equations is finally provided.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
