title: On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process.
abstract: A new evolutionary model with hereditary modes considered as correlated fluctuations of fertility has been proposed. It has been demonstrated that the model allows the global statistical properties of the system to be evaluated, e.g. the ensemble average and the probability of extinction. The results obtained show the increase of instability of a population with the enhancement of inheritance efficiency. The existence of at least an exponential stratification in the population has also been shown. Possible applications of the present model are discussed.
authors.affiliation: N.N. Semenov Institute of Chemical Physics, Academy of Sciences of USSR, Moscow, Russia.
authors.forename: Y A
authors.initials: YA
authors.lastname: Berlin
authors.forename: D O
authors.initials: DO
authors.lastname: Drobnitsky
authors.forename: V I
authors.initials: VI
authors.lastname: Goldanskii
authors.forename: V V
authors.initials: VV
authors.lastname: Kuz'min
mesh_terms: D000818:Animals; D005075:Biological Evolution; D005260:Female; D005298:Fertility / Q000235:genetics*; D008297:Male; D008954:Models, Biological; D011157:Population Dynamics; D013269:Stochastic Processes; D013598:Systems Theory