Geodesic
An age-structured model of cannibalism
Electronic journal of differential equations, Tome 2006 (2006)
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.
Classification : 34C23, 37G10
Keywords: cannibalism, predator-prey, Hopf bifurcation, Lyapunov coefficient 
@article{EJDE_2006__2006__a3,
     author = {Marik,  Robert and Pribylova,  Lenka},
     title = {An age-structured model of cannibalism},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1118.34035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a3/}
}
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Marik,  Robert; Pribylova,  Lenka. An age-structured model of cannibalism. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a3/