一个离散单种群动力系统的超临界Flip分支和Hoph分支(英文)

Supercritical Flip and Hopf Bifurcation on a Discrete Single Species Dynamical System

文中考虑一个非线性的具有年龄阶段结构的单种群离散模型,致力于揭示该系统的动力学行为,说明了系统在分支阈值附近会出现超临界Flip分支和Hoph分支.与一些文献不同的是文中用数学工具给出证明过程而不是用数值模拟的结果说明.

In this paper,we consider a nonlinear discrete age-structured one-population model and intend to reveal the dynamical consequences of the model.We focus on the supercritical Flip and Hopf bifurcations beyond the bifurcation thresholds and show the rigorous proof instead of numerical results as some literatures.