An age-structured model of cannibalism
dc.contributor.author | Marik, Robert | |
dc.contributor.author | Pribylova, Lenka | |
dc.date.accessioned | 2021-07-20T15:05:38Z | |
dc.date.available | 2021-07-20T15:05:38Z | |
dc.date.issued | 2006-09-08 | |
dc.description.abstract | 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Marik, R., & Pribylova, L. (2006). An age-structured model of cannibalism. Electronic Journal of Differential Equations, 2006(106), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13979 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Cannibalism | |
dc.subject | Predator-prey | |
dc.subject | Hopf bifurcation | |
dc.subject | Lyapunov coefficient | |
dc.title | An age-structured model of cannibalism | |
dc.type | Article |