Geodesic
An age-structured model of cannibalism
Electronic Journal of Differential Equations, Tome 2006 (2006).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a103,
     author = {Marik, Robert and Pribylova, Lenka},
     title = {An age-structured model of cannibalism},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2006},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a103/}
}
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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__a103/