Stability switches and Hopf bifurcations of an isolated population model with delay-dependent parameters
作者： Min Xiao , Guoping Jiang , Lindu Zhao , Wenying Xu , Youhong Wan
DOI: 10.1016/J.AMC.2015.04.071
关键词:
摘要: The dynamical behaviors of an isolated population model involving delay-dependent parameters are investigated. It is shown that the positive equilibrium switches from being stable to unstable and then back as delay increases, Hopf bifurcation occurs finite times between two critical values stability changes which can be analytically determined. Moreover, bifurcating periodic solutions expressed in approximate form by perturbation approach Floquet technique. direction also Finally, validity results consistency with numerical simulations.
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