具有年龄阶段结构的Cuckoo鸟生长动力学模型的稳定性与Hopf分支  

Stability and Hopf Bifurcation of a Dynamic Model Describing Evolution and Growth of Cuckoo Birds

作　　者：解雷芳 马万彪[1] SAMPATH A P B G XIE Leifang MA Wanbiao SAMPATH APBG(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China Faculty of Science,University of Ruhuna, Matara 81000, Sri Lanka)

机构地区：[1]北京科技大学数理学院,北京100083 [2]Faculty of Science,University of Ruhuna,Matara 81000

出　　处：《河北师范大学学报（自然科学版）》2017年第5期374-380,共7页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11471034)

摘　　要：提出了一类改进的刻画Cuckoo鸟生长的时滞微分方程动力学模型,利用微分方程等有关理论完整地研究了该类动力学模型平衡点的存在性、稳定性和Hopf分支.同时,使用数值模拟检验了与理论结果的一致性.In this paper,a class of revised dynamic model is propsed to describe the evolution between Cuckoo birds and their host birds. In this model, there are age structure and time delay. The basic theory of the solutions, stability and Hopf bifurcation of the model are studied in details. At the same time, the nu- merical simulations are given to summarize the theoretical results.

关 键 词：Cuckoo鸟 动力学模型 时间滞后 稳定性 HOPF分支 

分 类 号：O175[理学—数学]