`a`
Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Hopf bifurcation for a spatially and age structured population dynamics model

Pages: 1735 - 1757, Volume 20, Issue 6, August 2015      doi:10.3934/dcdsb.2015.20.1735

 
       Abstract        References        Full Text (825.4K)       Related Articles       

Zhihua Liu - School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China (email)
Hui Tang - School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China (email)
Pierre Magal - University of Bordeaux, IMB, UMR CNRS 5251, 33076 Bordeaux, France (email)

Abstract: 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.

Keywords:  Hopf bifurcation, spatially and age/size structure, population dynamics, integrated semigroups.
Mathematics Subject Classification:  37L10, 37G15, 35B32, 35K55, 92D25.

Received: November 2013;      Revised: February 2014;      Available Online: June 2015.

 References