Local Hopf bifurcation analysis of logistic population dynamics models with two delays
Multiple time lags can occur very naturally in the study of population dynamics.In this paper,we study two forms of the delay logistic equation with two discrete time delays.For both the models,we identify the condition for the first local Hopf bifurcation.For our analysis,we employ a non-dimensional bifurcation parameter.Using Poincar′e normal forms and the center manifold theory,we also conduct the requisite analysis to determine the type of the Hopf bifurcation.This enables us to determine the asymptotic orbital stability of the bifurcating periodic solutions.The analysis is complemented with some numerical examples and bifurcation diagrams.
Population dynamics logistic growth two delays stability Hopf bifurcation
Sreelakshmi Manjunath Gaurav Raina
Department of Electrical Engineering,Indian Institute of Technology Madras,Chennai 600 036,India
国际会议
长沙
英文
1454-1460
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）