An age-structured model of cannibalism

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Authors	MAŘÍK Robert PŘIBYLOVÁ Lenka
Year of publication	2006
Type	Article in Periodical
Magazine / Source	Electron. J. Diff. Eqs.
MU Faculty or unit	Faculty of Science
Citation
web	http://ejde.math.txstate.edu/Volumes/2006/106/marik.pdf
Field	General mathematics
Keywords	Cannibalism; predator-prey; Hopf bifurcation; Lyapunov coefficient
Description	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.
Related projects:	Difference Equations and Dynamic Equations on Time Scales.