Dynamics of populations with two sexes

作者:Cecilia Perez M; Adriana Saavedra E; Ferrari Mariano A*
来源:International Journal of Biomathematics, 2015, 8(4): 1550049.
DOI:10.1142/S1793524515500497

摘要

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 parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.

  • 出版日期2015-7

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