摘要
研究了一类带时滞的捕食者-食饵模型.以时滞为参数,通过分析该模型在正平衡点处的线性化方程组及其相应的特征方程,得到其正常数平衡点的局部稳定性与Hopf分支的存在性.对模型进行数值举例进一步说明所得分析结果.
Predator-prey models with time delay were studied.First,with time delay as the parameter,by analyzing the linear equations at the positive equilibrium and the corresponding characteristic equations ,the local stability of the positive equilibrium and the existence of Hopf bifurcation were demonstrated.Next,some numerical examples were carried out for illustrating the above results.
作者
张婧
张睿
ZHANG Jing;ZHANG Rui(Department of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)
出处
《内蒙古工业大学学报（自然科学版）》
2019年第1期30-34,共5页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家自然科学基金项目(11561041)
