Hopf Bifurcation for a Spatially and Age Structured Population Dynamics Model

نویسندگان

  • Zhihua Liu
  • Hui Tang
  • Pierre Magal
  • ZHIHUA LIU
  • HUI TANG
چکیده

This paper is devoted to the study of a spatially and age structured population dynamics model. We study the stability and Hopf bifurcation of the positive equilibrium of the model by using a bifurcation theory in the context of integrated semigroups. This problem is a first example for Hopf bifurcation for a spatially and age/size structured population dynamics model. Bifurcation analysis indicates that Hopf bifurcation occurs at a positive age/size dependent steady state of the model. The results are confirmed by some numerical simulations.

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تاریخ انتشار 2014