论文标题
莱斯利（Leslie
Leslie's prey-predator model in discrete time
论文作者
论文摘要
我们考虑莱斯利（Leslie）具有离散时间的猎物prodenter模型。该模型由非线性进化运算符给出，具体取决于五个参数。我们证明该操作员有两个固定点，并根据参数定义每个固定点的类型。找到两个不变的进化运算符，我们研究了操作员在每个不变式集合上生成的动力系统。根据参数，我们将捕食者与莱斯利模型的猎物之间的动力学分类。
We consider the Leslie's prey-predator model with discrete-time. This model is given by a non-linear evolution operator depending on five parameters. We show that this operator has two fixed points and define type of each fixed point depending on the parameters. Finding two invariant sets of the evolution operator we study the dynamical systems generated by the operator on each invariant set. Depending on the parameters we classify the dynamics between a predator and a prey of the Leslie's model.
