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.
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Basic information
Original name An age-structured model of cannibalism
Name in Czech Věkově strukturovaný model kanibalismu
Authors MAŘÍK, Robert (203 Czech Republic, guarantor) and Lenka PŘIBYLOVÁ (203 Czech Republic, belonging to the institution).
Edition Electron. J. Diff. Eqs. 2006, 1072-6691.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/06:00015860
Organization unit Faculty of Science
UT WoS 000208974000106
Keywords in English Cannibalism; predator-prey; Hopf bifurcation; Lyapunov coefficient
Tags cannibalism, Hopf bifurcation, Lyapunov coefficient, predator-prey
Tags International impact, Reviewed
Changed by Changed by: doc. RNDr. Lenka Přibylová, Ph.D., učo 9607. Changed: 28/3/2012 12:29.
Abstract
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.
Abstract (in Czech)
Zkoumáme model dravec-kořist s kanibalismem v populaci dravce, který navrhl Magnusson v roce 1995. Studujeme model použitím teorie bifurkací, používáme převážně Bautinovy výsledky. Mezi jiným ukážeme, že limitní cyklus vznikající Andronov-Hopfovou bifurkací může být jak stabilní, tak nestabilní.
Links
GA201/04/0580, research and development projectName: Diferenční rovnice a dynamické rovnice na "time scales"
Investor: Czech Science Foundation, Difference Equations and Dynamic Equations on Time Scales.
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