Dynamics of populations with two sexes

PÉREZ, M. C.; SAAVEDRA, A. E.; MARIANO A. FERRARI

International Journal of Biomathematics

World Scientic Publishing Company

Año: 2015 vol. 8 p. 1550049 - 1550049

1793-5245

A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parameterized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.