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arXiv 1305.2622q-bio.PE
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一类非光滑两性种群模型

A nonsmooth two-sex population model

Eduardo Garibaldi, Marcelo Sobottka

摘要:

本文考虑了一个研究具有两个性别的总体的二维Logistic模型。一个种群的增长行为是由两个耦合的常微分方程所指导的,这两个方程由一个不可微的向量场给出,其参数是第二性比(出生时的男性与女性的比例),性别间、性别内和性别外的竞争,生育率和死亡率以及交配函数。对于没有性别间竞争和死亡率是可以忽略的密度依赖的死亡率的情况下,使用几何技术,我们分析的奇点和吸引力的系统的盆地,确定参数之间的关系,该系统提出了一个平衡点。特别是,我们描述了第二性比的条件,并讨论了每个男性的女性性伴侣的平均数量的保护的两性物种的作用。

英文摘要:

This paper considers a two-dimensional logistic model to study populations with two genders. The growth behavior of a population is guided by two coupled ordinary differential equations given by a non-differentiable vector field whose parameters are the secondary sex ratio (the ratio of males to females at time of birth), inter-, intra- and outer-gender competitions, fertility and mortality rates and a mating function. For the case where there is no inter-gender competition and the mortality rates are negligible with respect to the density-dependent mortality, using geometrical techniques, we analyze the singularities and the basin of attraction of the system, determining the relationships between the parameters for which the system presents an equilibrium point. In particular, we describe conditions on the secondary sex ratio and discuss the role of the average number of female sexual partners of each male for the conservation of a two-sex species.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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