Two parametric bifurcations in LPA model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00096295" target="_blank" >RIV/00216224:14310/17:00096295 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007%2Fs00285-017-1115-8" target="_blank" >http://link.springer.com/article/10.1007%2Fs00285-017-1115-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00285-017-1115-8" target="_blank" >10.1007/s00285-017-1115-8</a>
Alternative languages
Result language
angličtina
Original language name
Two parametric bifurcations in LPA model
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Biology
ISSN
0303-6812
e-ISSN
1432-1416
Volume of the periodical
75
Issue of the periodical within the volume
5
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
1235-1251
UT code for WoS article
000409891600007
EID of the result in the Scopus database
2-s2.0-85014751704