Kon Ryusuke, Iwasa Yoh
Department of Biology, Kyushu University, Hakozaki 6-10-1, Higashi-ku, Fukuoka 812-8581, Japan.
J Math Biol. 2007 Nov;55(5-6):781-802. doi: 10.1007/s00285-007-0111-9. Epub 2007 Jul 17.
The dynamics of a general nonlinear Leslie matrix model for a semelparous population is investigated. We are especially concerned with the attractivity of the single-class state, in which all but one cohort (or year-class) are missing. Our result shows that the single-class state is attractive if inter-class competition is severe. Conversely, if intra-class competition is severe, the single-class state is repelling. Numerical investigations show that all classes do not necessarily coexist even if the single-class state is repelling.
研究了一种用于单次繁殖种群的一般非线性莱斯利矩阵模型的动力学。我们特别关注单类状态的吸引性，在这种状态下，除了一个队列（或年龄组）之外的所有队列都不存在。我们的结果表明，如果类间竞争激烈，单类状态具有吸引力。相反，如果类内竞争激烈，单类状态具有排斥性。数值研究表明，即使单类状态具有排斥性，所有类也不一定共存。
