J
2017
Two parametric bifurcations in LPA model
HAJNOVÁ, Veronika and Lenka PŘIBYLOVÁ
Basic information
Original name
Two parametric bifurcations in LPA model
Name in Czech
Dvouparametrické bifurkace v LPA modelu
Edition
Journal of Mathematical Biology, HEIDELBERG, SPRINGER HEIDELBERG, 2017, 0303-6812
Other information
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Germany
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 1.786
RIV identification code
RIV/00216224:14310/17:00096295
Organization unit
Faculty of Science
Keywords (in Czech)
Populační dynamika; dvouparametrické bifurkace; LPA model; Silná 1:2 rezonance; Chencinerova bifurkace
Keywords in English
Population dynamics; Two-parameter bifurcations; LPA model; Strong 1:2 resonance; Chenciner bifurcation
Tags
International impact, Reviewed
V originále
The structured population LPA model is studied. The model describes flour beetle (Tribolium) population dynamics of four stage populations: eggs, larvae, pupae and adults with cannibalism between these stages. We concentrate on the case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs, but the results can be numerically continued to non-zero cannibalism of larvae on eggs. In this article two-parameter bifurcations in LPA model are analysed. Various stable and unstable invariant sets are found, different types of hysteresis are presented and abrupt changes in dynamics are simulated to explain the complicated way the system behaves near two-parameter bifurcation manifolds. The connections between strong 1:2 resonance and Chenciner bifurcations are presented as well as their very significant consequences to the dynamics of the Tribolium population. The hysteresis phenomena described is a generic phenomenon nearby the Chenciner bifurcation or the cusp bifurcation of the loop.
Links
MUNI/A/1234/2015, interní kód MU | Name: Matematické a statistické modelování (Acronym: Matematické a statistické modelování) | Investor: Masaryk University, Category A |
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Displayed: 11/12/2024 22:42