Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 106, pp. 1-11.

Title: An age-structured model of cannibalism

Authors: Robert Marik    (Mendel Univ., Brno, Czech Republic)
         Lenka Pribylova (Mendel Univ., Brno, Czech Republic)

Abstract: 
  We investigate the predator-prey model with cannibalism in the
  predator population, suggested by Magnusson [5] in 1995. 
  We explore   the model by a theory of bifurcations, based 
  mainly on the results of Bautin.  Among others, we show that
  the limit cycle  appearing in the model due to the 
  Andronov-Hopf bifurcation may be stable or unstable.
 
Submitted April 3, 2006. Published September 8, 2006.
Math Subject Classifications: 34C23, 37G10.
Key Words: Cannibalism; predator-prey; Hopf bifurcation; 
           Lyapunov coefficient.