高维“食饵——捕食者”数学模型的研究

Study on Mathematical Model of High Dimensional Predator-Prey

在苏联科学通报[3]中??教授提出了一类在食饵或捕食者之间存在竞争的高维食饵与捕食者模型并进行了初步分析.本文提出了一类更为广泛的在食饵与捕食者之间都存在竞争的高维数学模型,并得到了一些新的重要结果.本文的工作包括和推广了[3]的工作.

A class of wider high dimensional mathematical model of existing competition between both prey and predator is proposed.Some new important results are obtained thus 2-dimensional Volterra model is extended to more general form.