An age-structured model of cannibalism

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dc.contributor.authorMarik, Robert
dc.contributor.authorPribylova, Lenka
dc.date.accessioned2021-07-20T15:05:38Z
dc.date.available2021-07-20T15:05:38Z
dc.date.issued2006-09-08
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMarik, R., & Pribylova, L. (2006). An age-structured model of cannibalism. <i>Electronic Journal of Differential Equations, 2006</i>(106), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13979
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectCannibalism
dc.subjectPredator-prey
dc.subjectHopf bifurcation
dc.subjectLyapunov coefficient
dc.titleAn age-structured model of cannibalism
dc.typeArticle

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