The evolution of migrating two-sexes populations

Article type: Research Article

Authors: Skakauskas, Vladas

Affiliations: Vilnius University, The Department of Differential Equations and Numerical Analysis, 2006 Vilnius, Naugarduko St. 24, Lithuania

Abstract: The equations describing the evolution of migrating populations composed of two-sexes are derived taking into account the size, age structure, panmiction mating of sexes, pregnancy of females, possible abortions as well as the females organism restoration periods after abortions and delivery. In partial case, which neglects females organism restoration period, the unique solvability of the model is proved and the condition for population to vanish is obtained.

Keywords: panmiction mating, population evolution, gestation and restoration periods, migration

DOI: 10.3233/INF-1996-7105

Journal: Informatica, vol. 7, no. 1, pp. 83-96, 1996