论文标题
Planktons离散时间动态系统
Planktons discrete-time dynamical systems
论文作者
论文摘要
在本文中，我们启动了一个离散的时间动力系统的研究，该系统建模了一个连接浮游生物的三种类型的营养网络（Phytoplankton，Zooplankton，Mixoplankton）和细菌。与此动态系统关联的非线性操作员V是带有十二参数的4伏特拉二次二次随机操作员（QSO）。我们提供有关该操作员将五维标准单纯胶映射到本身的参数的条件，并找到其固定点。此外，我们研究了该操作员的轨迹限制点。对于每种情况，我们都会提供一些生物学解释。
In this paper, we initiate the study of a discrete-time dynamical system modelling a trophic network connecting the three types of plankton (phytoplankton, zooplankton, mixoplankton) and bacteria. The nonlinear operator V associated with this dynamical system is of type 4-Volterra quadratic stochastic operator (QSO) with twelve parameters. We give conditions on the parameters under which this operator maps the five-dimensional standard simplex to itself and we find its fixed points. Moreover, we study the limit points of trajectories for this operator. For each situations we give some biological interpretations.
