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

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Publikace nespadá pod Fakultu sportovních studií, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.
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PŘIBYLOVÁ Lenka SEN Deeptajyoti ECLEROVÁ Veronika

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Applied Mathematics and Computation
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://doi.org/10.1016/j.amc.2023.128331
Doi http://dx.doi.org/10.1016/j.amc.2023.128331
Klíčová slova Seasonality; Allee effect; Arnold tongue; Synchronization; Bifurcations; Chaos
Popis 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.
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