吉林大学学报（理学版）2018，Vol.56Issue(3)：515-522,8.DOI:10.13413/j.cnki.jdxblxb.2018.03.08
带有时滞和非线性收获效应的捕食者-食饵系统的空间动力学
Spatial Dynamics in Predator-Prey System with Time Delay and Nonlinear Harvesting Effect
摘要
Abstract
We considered the spatial dynamic behavior of a predator-prey system with time delay and nonlinear prey harvesting effect .First ,we obtained the condition of Hopf bifurcation and Turing bifurcation by using stability theory and bifurcation theory ,and then numerical simulations show that the system has rich dynamic behavior .Numerical results show that time delay and diffusion can not only affect the formation of Turing patterns ,such as spot ,stripe and the coexistence of the two types ,but also affect the formation of spiral patterns .关键词
时滞/捕食者-食饵系统/Hopf分支/螺旋波斑图Key words
time delay/predator-prey system/Hopf bifurcation/spiral pattern分类
数理科学引用本文复制引用
张道祥,孙光讯,徐明丽,陈金琼,周文..带有时滞和非线性收获效应的捕食者-食饵系统的空间动力学[J].吉林大学学报（理学版）,2018,56(3):515-522,8.基金项目
国家自然科学基金青年科学基金(批准号:11302002). （批准号:11302002）
