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Z. Wang, “A Very Simple Criterion for Characterizing the Crossing Direction of Time-delayed Systems with Delay-Dependent Parameters,” International Journal of Bifurcation and Chaos, Vol. 22, No. 3, 2012, Article ID: 1250048. doi:10.1007/978-1-4612-9892-2

has been cited by the following article:

• TITLE: Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays

  AUTHORS: Shunyi Li, Wenwu Liu, Xiangui Xue

  KEYWORDS: Three-Stage-Structured; Prey-Predator Model; Time Delay; Hopf Bifurcation

  JOURNAL NAME: Applied Mathematics, Vol.4 No.7, July 11, 2013

  ABSTRACT: A three-stage-structured prey-predator model with discrete and continuous time delays is studied. The characteristic equations and the stability of the boundary and positive equilibrium are analyzed. The conditions for the positive equilibrium occurring Hopf bifurcation are given, by applying the theorem of Hopf bifurcation. Finally, numerical simulation and brief conclusion are given.