论文标题
Neimark-Sacker分叉和稳定性分析在离散的浮游植物 - Zooplankton系统中具有II型功能响应
Neimark-Sacker bifurcation and stability analysis in a discrete phytoplankton-zooplankton system with Holling type II functional response
论文作者
论文摘要
在本文中，我们研究了具有II型捕食者功能响应的浮游植物 - Zooplankton的离散时间模型。结果表明，Neimark-Sacker分叉发生在选择作为分叉参数的某些参数的阳性固定点之一。证明了模型正固定点的存在和局部稳定性。通过在具体示例中考虑理论结果，它获得了该系统的有趣动力学，该动力没有在其相应的连续系统中进行研究。
In this paper, we study discrete-time model of phytoplankton-zooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at the one of positive fixed points for certain parameter chosen as a bifurcation parameter. The existence and local stability of the positive fixed points of the model are proved. By considering theoretical results in the concrete example, it was obtained interesting dynamics of this system, which is not investigated in its corresponding continuous system.
