Electron. J. Diff. Eqns., Vol. 2006(2006), No. 106, pp. 1-11.

An age-structured model of cannibalism

Robert Marik, Lenka Pribylova

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.

Show me the PDF file (705K), TEX file, and other files for this article.

Robert Marik
Dept. of Mathematics, Mendel University
Zemedelska 3, 613 00 Brno, Czech Republic
email: marik@mendelu.cz
Lenka Pribylova
Dept. of Applied Mathematics, Masaryk University
Janackovo nam. 2a, 662 95 Brno, Czech Republic
email: pribylova@math.muni.cz

Return to the EJDE web page