Destabilization of a seasonal synchronization in a population
model with a seasonally varying Allee effect

J 2024

Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect

PŘIBYLOVÁ, Lenka, Deeptajyoti SEN and Veronika ECLEROVÁ

Basic information

Original name

Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect

Authors

PŘIBYLOVÁ, Lenka (203 Czech Republic, guarantor, belonging to the institution), Deeptajyoti SEN (356 India, belonging to the institution) and Veronika ECLEROVÁ (203 Czech Republic, belonging to the institution)

Edition

Applied Mathematics and Computation, Elsevier, 2024, 0096-3003

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10100 1.1 Mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 4.000 in 2022

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1016/j.amc.2023.128331

UT WoS

001081614500001

Keywords in English

Seasonality; Allee effect; Arnold tongue; Synchronization; Bifurcations; Chaos

Abstract

V originále

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.

Links

MUNI/A/1132/2022, interní kód MU

Name: Matematické a statistické modelování 7

Investor: Masaryk University

MUNI/A/1342/2021, interní kód MU

Name: Matematické a statistické modelování 6 (Acronym: MaStaMo6)

Investor: Masaryk University

101063853, interní kód MU

Name: Models with cross-interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes. (Acronym: CrossInteractions)

Investor: European Union, Marie Skłodowska-Curie Postdoctoral Fellowships (MSCA PF)

Citovat

PŘIBYLOVÁ, Lenka, Deeptajyoti SEN and Veronika ECLEROVÁ. Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect. Applied Mathematics and Computation. Elsevier, 2024, vol. 462, February 2024, p. 1-15. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2023.128331.

@article{2317018,
   author = {Přibylová, Lenka and Sen, Deeptajyoti and Eclerová, Veronika},
   article_number = {February 2024},
   doi = {http://dx.doi.org/10.1016/j.amc.2023.128331},
   keywords = {Seasonality; Allee effect; Arnold tongue; Synchronization; Bifurcations; Chaos},
   language = {eng},
   issn = {0096-3003},
   journal = {Applied Mathematics and Computation},
   title = {Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect},
   url = {https://doi.org/10.1016/j.amc.2023.128331},
   volume = {462},
   year = {2024}
}

TY  - JOUR
ID  - 2317018
AU  - Přibylová, Lenka - Sen, Deeptajyoti - Eclerová, Veronika
PY  - 2024
TI  - Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect
JF  - Applied Mathematics and Computation
VL  - 462
IS  - February 2024
SP  - 1-15
EP  - 1-15
PB  - Elsevier
SN  - 00963003
KW  - Seasonality
KW  - Allee effect
KW  - Arnold tongue
KW  - Synchronization
KW  - Bifurcations
KW  - Chaos
UR  - https://doi.org/10.1016/j.amc.2023.128331
N2  - 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.
ER  -

PŘIBYLOVÁ, Lenka, Deeptajyoti SEN and Veronika ECLEROVÁ. Destabilization of a seasonal synchronization in a population model with a seasonally varying Allee effect. \textit{Applied Mathematics and Computation}. Elsevier, 2024, vol.~462, February 2024, p.~1-15. ISSN~0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2023.128331.

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