Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00135203" target="_blank" >RIV/00216224:14310/24:00135203 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.amc.2023.128331" target="_blank" >https://doi.org/10.1016/j.amc.2023.128331</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2023.128331" target="_blank" >10.1016/j.amc.2023.128331</a>
Alternative languages
Result language
angličtina
Original language name
Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect
Original language description
Climate change causing large seasonal fluctuations is likely to lead to an increase in the average threshold of the Allee effect as well as an increase in its seasonal variability. In this paper, we show that a seasonally synchronized predator-prey system can be strongly destabilized by these changes in the threshold of the Allee effect. The typical result first leads to two-year and multiyear cycles by the principle of period doubling on a folded Möbius strip, up to the emergence of a chaotic and hyper-chaotic attractor living close to the trivial equilibrium corresponding to the extinction of populations. Moreover, this instability of the ecosystem can be hidden for a long time and the transition to its basin of attraction can occur by external perturbation in a random and irreversible manner. We also reveal a double folding of the 1:1 synchronized cycle manifold inside the corresponding Arnold tongue and hysteresis similar to well-known Duffing oscillator.
Czech name
—
Czech description
—
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
10100 - Mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
462
Issue of the periodical within the volume
February 2024
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
1-15
UT code for WoS article
001081614500001
EID of the result in the Scopus database
2-s2.0-85171620067