Robert Marik, Lenka Pribylova
We investigate the predator-prey model with cannibalism in the predator population, suggested by Magnusson  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.
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| Robert Marik |
Dept. of Mathematics, Mendel University
Zemedelska 3, 613 00 Brno, Czech Republic
| Lenka Pribylova |
Dept. of Applied Mathematics, Masaryk University
Janackovo nam. 2a, 662 95 Brno, Czech Republic
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