杭州师范大学学报（自然科学版）2017，Vol.16Issue(4)：368-377,10.DOI:10.3969/j.issn.1674-232X.2017.04.005
扩散捕食-食饵系统的周期行波解
Periodic Travelling Wave Solution in a Diffusive Predator-prey System
摘要
Abstract
In this paper, the existence of the periodic travelling wave solution for a general diffusive predator-prey system is investigated.The condition for the occurrence of Hopf bifurcation in wave equations is provided firstly.Then, taking the diffusion coefficient as the bifurcation parameter, the critical value for the occurrence of periodic travelling wave solution is derived.Finally, the obtained theoretical results are applied to deal with a diffusive predator-prey system with herd behavior and the conditions for the occurrence of the periodic travelling wave solution are obtained.The numerical simulations are also employed to illustrate the theoretical results.关键词
捕食-食饵系统/周期行波解/Hopf分支Key words
predator-prey system/periodic travelling wave solution/Hopf bifurcation分类
数理科学引用本文复制引用
宋永利,徐周..扩散捕食-食饵系统的周期行波解[J].杭州师范大学学报（自然科学版）,2017,16(4):368-377,10.基金项目
Supported by the National Natural Science Foundation of China (11571257) and the Scientific Research Start-up Foundation of Hangzhou Normal University (201603). （11571257）
