The growth of a population in a randomly varying environment is modeled by replacing the Malthusian growth rate with a delta-correlated normal process. The population size is then shown to be a random process, lognormally distributed, obeying a diffusion equation of the Fokker-Planck type. The first passage time p.d.f. through any arbitrarily assigned value and the probability of absorption are derived. The asymptotic behavior of the population size is investigated.
A diffusion model for population growth in random environment / R. M., Capocelli; Ricciardi, LUIGI MARIA. - In: THEORETICAL POPULATION BIOLOGY. - ISSN 0040-5809. - STAMPA. - 5:1(1974), pp. 28-41. [10.1016/0040-5809(74)90050-1]
A diffusion model for population growth in random environment
RICCIARDI, LUIGI MARIA
1974
Abstract
The growth of a population in a randomly varying environment is modeled by replacing the Malthusian growth rate with a delta-correlated normal process. The population size is then shown to be a random process, lognormally distributed, obeying a diffusion equation of the Fokker-Planck type. The first passage time p.d.f. through any arbitrarily assigned value and the probability of absorption are derived. The asymptotic behavior of the population size is investigated.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
