四川师范大学学报（自然科学版）2018，Vol.41Issue(2)：169-175,7.DOI:10.3969/j.issn.1001-8395.2018.02.004
带有分段常数变量的捕食者-食饵模型的稳定性和Neimark-Sacker分支
Stability and Neimark-Sacker Bifurcation of a Predator-prey Model with Piecewise Constant Arguments
摘要
Abstract
A kind of predator-prey model with piecewise constant arguments is investigated. Stability and Neimark-Sacker bifurca-tion of the model are discussed detailedly. The difference equation corresponding to this kind of model is obtained at first by the func-tion transformation. And a sufficient condition of the positive equilibrium's local asymptotic stability is derived by the linear stability theory. Secondly,normal form theory and center manifold projection method are used to deduce a case of the system that causes Neima-rk-Sacker bifurcation and chaos further with parameter variation.关键词
分段常数变量/稳定性/Neimark-Sacker分支Key words
piecewise constant arguments/stability/Neimark-Sacker bifurcation分类
数理科学引用本文复制引用
豆中丽,王锐..带有分段常数变量的捕食者-食饵模型的稳定性和Neimark-Sacker分支[J].四川师范大学学报（自然科学版）,2018,41(2):169-175,7.基金项目
国家自然科学基金(11304403) （11304403）
