Title Модель динамики двуполой популяции с учетом сильного материнского присмотра за детьми /
Translation of Title Two-sex population dynamics model with strong maternal care.
Translation of Title Dvilytės populiacijos dinamikos modelis su stipria motiniška vaikų globa.
Authors Skakauskas, Vladas
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Is Part of Lietuvos matematikos rinkinys. 2006, t. 46, Nr. 2, p. 215-255.. ISSN 0132-2818
Keywords [eng] Pair formation ; Care, child ; Care, paternal ; Care, maternal
Abstract [eng] A two-sex age-structured non-dispersing population dynamics deterministic model is presented taking into account strong maternal and weak paternal care of offspring. The model includes a weighted harmonic mean type pair formation function and neglects the separation of pairs. It is assumed that each sex has pre-reproductive and reproductive age intervals. All adult individuals are divided into single males, single females, permanent pairs, and female-widows who care for their offsprings after the death of their pair partner. All pairs are of two types: pairs without offspring under parental care at the given time and pairs taking child care. All individuals of pre-reproductive age are divided into young and juvenile groups. The young offspring are assumed to be under parental or maternal (after the death of their father) care. Juveniles can live without parental or maternal care but they can not reproduce offsprings. It is assumed that births can only occur from couples. The model consists of nine integro-PDEs subject to the conditions of an integral type. A class of separable solutions is studied and a system for macro-moments evolving in time is derived in the case of age-independent vital ones.
Type Journal article
Language Russian
Publication date 2006