HAJNOVÁ, Veronika and Lenka PŘIBYLOVÁ. Two parametric bifurcation in LPA model. In The 8th CHAOS 2015 International Conference. 2015. ISBN 978-618-5180-00-3.
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Basic information
Original name Two parametric bifurcation in LPA model
Name in Czech Dvouparametrická bifurkace v LPA modelu
Authors HAJNOVÁ, Veronika (203 Czech Republic, guarantor, belonging to the institution) and Lenka PŘIBYLOVÁ (203 Czech Republic, belonging to the institution).
Edition The 8th CHAOS 2015 International Conference, 2015.
Other information
Original language English
Type of outcome Conference abstract
Field of Study 10101 Pure mathematics
Country of publisher Greece
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/00216224:14310/15:00091494
Organization unit Faculty of Science
ISBN 978-618-5180-00-3
Keywords in English two parametric bifurcation; LPA model; Tribolium model; strong 1:2 resonance; Chenciner bifurcation
Tags International impact
Changed by Changed by: RNDr. Veronika Eclerová, Ph.D., učo 379390. Changed: 7/9/2017 20:15.
Abstract
The structured population LPA model describes flour beetle population dynamics of four stage populations: eggs, larvae, pupae, and adults with cannibalism between these stages. The case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs. This assumption is necessary to make at least some calculations analytically. It is shown that the behavior can be continued to the generic model with non-zero cannibalistic rate of larvae on eggs. In the model exist both supercritical and subcritical strong 1:2 resonance. The bi- furcation responsible for the change of topological type of the strong 1:2 resonance is study. This bifurcation is accompanied by the origination of the Chenciner bifur- cation. The destabilization of the system is caused by two parametric bifurcation is study together with its biological consequences.
Links
MUNI/A/1234/2015, interní kód MUName: Matematické a statistické modelování (Acronym: Matematické a statistické modelování)
Investor: Masaryk University, Category A
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