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@article{696246, author = {Mařík, Robert and Přibylová, Lenka}, article_number = {106}, keywords = {Cannibalism; predator-prey; Hopf bifurcation; Lyapunov coefficient}, language = {eng}, issn = {1072-6691}, journal = {Electron. J. Diff. Eqs.}, title = {An age-structured model of cannibalism}, url = {http://ejde.math.txstate.edu/Volumes/2006/106/marik.pdf}, volume = {2006}, year = {2006} }
TY - JOUR ID - 696246 AU - Mařík, Robert - Přibylová, Lenka PY - 2006 TI - An age-structured model of cannibalism JF - Electron. J. Diff. Eqs. VL - 2006 IS - 106 SP - 1-11 EP - 1-11 SN - 10726691 KW - Cannibalism KW - predator-prey KW - Hopf bifurcation KW - Lyapunov coefficient UR - http://ejde.math.txstate.edu/Volumes/2006/106/marik.pdf N2 - 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. ER -
MAŘÍK, Robert a Lenka PŘIBYLOVÁ. An age-structured model of cannibalism. \textit{Electron. J. Diff. Eqs.}. 2006, roč.~2006, č.~106, s.~1-11. ISSN~1072-6691.
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