Dynamics of populations with two sexes  

作　　者：M. Cecilia Perez E. Adriana Saavedra Mariano A. Ferrari 

机构地区：[1]Facultad de Ingenieria, Universidad Nacional de la Patagonia San Juan Bosco Esquel, Chubut, Argentina [2]Facultad de Ingenieria, Universidad Nacional de la Patagonia San Juan Bosco Trelew, Chubut, Argentina [3]Facultad de Ingenierla, Universidad Nacional de la Patagonia San Juan Bosco Puerto Madryn, Chubut, Argentina [4]Centro Nacional Patagdnico, CONICET, Puerto Madryn, Chubut, Argentina

出　　处：《International Journal of Biomathematics》2015年第4期127-144,共18页生物数学学报（英文版）

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.

关 键 词：Dynamical systems two-sex model mating system local stability. 

分 类 号：Q959.837[生物学—动物学] O141.4[理学—数学]