Two Population Dynamics Models with Child Care
Volume 11, Issue 2 (2000), pp. 195–218
Pub. online: 1 January 2000
Type: Research Article
Received
1 January 2000
1 January 2000
Published
1 January 2000
1 January 2000
Abstract
Two models for an age-structured nonlimited population dynamics with maternal care of offspring are presented. One of them deals with a bisexual population and includes a harmonic mean type mating of sexes and females' pregnancy. The other one describes dynamics of an asexual population. Migration is not taken into account. The existence and uniqueness theorem for the general case of vital rates is proved, the extinction and growth of the population are considered, and a class of the product (separable) solutions is obtained for these two models. The long-time behavior of the asexual population is obtained in the stationary case of vital rates.