Fujimagari Tetsuo
Department of Mathematics, Kanazawa University, Kanazawa, Japan.
Math Biosci. 2007 Mar;206(1):128-33. doi: 10.1016/j.mbs.2006.09.004. Epub 2006 Sep 19.
Most of natural populations seem to be regulated in their sizes in complex ways. Particularly, the sizes of some populations change in time or generation roughly periodically. There are many theoretical studies on such population dynamics. This paper develops stochastic population models for a periodic-like population dynamics. To see the nature of such mechanism, we consider simple models of a delayed density-dependent branching process, and present by numerical simulations how such a branching process shows periodic population changes. The effects of randomly changing stationary environments on the population dynamics are also considered.
大多数自然种群的规模似乎受到复杂方式的调节。特别是，一些种群的规模随时间或世代大致呈周期性变化。关于这种种群动态有许多理论研究。本文针对类似周期性的种群动态建立了随机种群模型。为了探究这种机制的本质，我们考虑延迟密度依赖分支过程的简单模型，并通过数值模拟展示这样一个分支过程如何呈现周期性的种群变化。还考虑了随机变化的稳定环境对种群动态的影响。
