An age-structured model of cannibalism
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Periodical |
| Magazine / Source | Electron. J. Diff. Eqs. |
| MU Faculty or unit | |
| Citation | MAŘÍK, Robert and Lenka PŘIBYLOVÁ. An age-structured model of cannibalism. Electron. J. Diff. Eqs. 2006, vol. 2006, No 106, p. 1-11. ISSN 1072-6691. |
| web | http://ejde.math.txstate.edu/Volumes/2006/106/marik.pdf |
| Field | General mathematics |
| Keywords | Cannibalism; predator-prey; Hopf bifurcation; Lyapunov coefficient |
| Description | 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. |
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