Calsina Angel, Ripoll Jordi
Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Barcelona, Spain.
Math Biosci. 2007 Aug;208(2):393-418. doi: 10.1016/j.mbs.2006.09.014. Epub 2006 Sep 28.
This paper introduces and analyzes a model of sequential hermaphroditism in the framework of continuously structured population models with sexual reproduction. The model is general in the sense that the birth, transition (from one sex to the other) and death processes of the population are given by arbitrary functions according to a biological meaningful hypotheses. The system is reduced to a single equation introducing the intrinsic sex-ratio subspace. The steady states are analyzed and illustrated for several cases. In particular, neglecting the competition for resources we have explicitly found a unique non-trivial equilibrium which is unstable.
本文在具有有性生殖的连续结构种群模型框架下，引入并分析了一种顺序雌雄同体模型。该模型具有一般性，即种群的出生、转变（从一种性别转变为另一种性别）和死亡过程由基于生物学意义假设的任意函数给出。通过引入内在性别比子空间，该系统被简化为一个单一方程。对几种情况的稳态进行了分析和说明。特别是，在忽略资源竞争的情况下，我们明确找到了一个唯一的非平凡平衡点，它是不稳定的。
