信阳师范大学学报（自然科学版）2025，Vol.38Issue(4)：421-427,7.DOI:10.3969/j.issn.2097-583X.2025.04.007
成熟时滞与消化时滞共同作用对一类捕食模型动力学行为的影响
The joint impacts of maturation delay and digestion delay on the dynamics of a predator-prey model
摘要
Abstract
The dynamics of a predator-prey model with maturation and digestion delays were studied.The characteristic equation with delay-dependent parameters was first analyzed using the geometric method.Accordingly,the Hopf bifurcation curve and unstable region on the two-delay plane were obtained.The center manifold and normal form theory were then applied to deduce the criteria for judging the bifurcation direction and the stability of the bifurcation periodic orbit.Combined with numerical examples,it was found that,as the digestion delay increases,the model would lose its stability.In contrast,as the maturation lag increases,the model would tend to be stable after finite stability switches.关键词
时滞/Hopf分支/稳定性开关/规范型Key words
delays/Hopf bifurcation/stability switches/normal form分类
数理科学引用本文复制引用
李帅,杨艳华,宋新宇..成熟时滞与消化时滞共同作用对一类捕食模型动力学行为的影响[J].信阳师范大学学报（自然科学版）,2025,38(4):421-427,7.基金项目
国家自然科学基金项目(12401651) （12401651）
信阳师范大学"南湖学者奖励计划"青年项目 （）
