四川大学学报（自然科学版）2024，Vol.61Issue(5)：8-16,9.DOI:10.19907/j.0490-6756.2024.051002
具有比例时滞的离散Nicholson苍蝇模型的强共振
Strong resonance bifurcations of a discrete Nicholson's blowf lies model with proportional delay
摘要
Abstract
Population models have long been a focus of many researchers in the field of dynamical systems.Particularly,the discrete Nicholson's blowflies model with proportional delay have attracted much attention due to its periodic oscillation.For the stability and co-dim 1 bifurcation of this model,many references exist.In this paper,we further discuss the co-dim 2 bifurcation and resonance of this model.First,the stability of two fixed points of model is briefly described.Then the parameter conditions for the model undergoing reso-nances 1∶3 and 1∶4 at the positive fixed point and their normal form coefficients along with its scenario are dis-cussed by using the normal form theory.Finally,bifurcation of the model is illustrated.Here we mention that the study of bifurcation and resonance can help us understand the effect of interaction among species on biodi-versity and ecosystem stability and aid us predict and manage dynamic changes in ecosystems.关键词
Nicholson苍蝇模型/强共振/分支Key words
Nicholson's blowflies model/Strong resonance/Bifurcation分类
数理科学引用本文复制引用
黄亲为,曾莹莹,郑佳佳..具有比例时滞的离散Nicholson苍蝇模型的强共振[J].四川大学学报（自然科学版）,2024,61(5):8-16,9.基金项目
四川省科技计划(2024NSFSC1402,2022JDTD0019) （2024NSFSC1402,2022JDTD0019）
