https://doi.org/10.1140/epjs/s11734-024-01339-4
Regular Article
Emergence of extreme outbreak events in population model
1
Center for Nonlinear and Complex Networks, SRM TRP Engineering College, 621105, Tiruchirappalli, Tamil Nadu, India
2
Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924, Lodz, Lodz, Poland
3
Center for Artificial Intelligence, Easwari Engineering College, 600089, Chennai, Tamil Nadu, India
b kingston.cnld@gmail.com, leo.sahaya-tharsis@p.lodz.pl
Received:
1
March
2024
Accepted:
29
August
2024
Published online:
2
October
2024
This study demonstrates the formation of distinct extreme outbreak dynamics in population models. We have investigated various intricate dynamics inclusive of the outbreak events in a single and two different coupling configurations. The system manifests abrupt deviations from the bounded region in an aperiodic interval owing to blowout bifurcation when the instability occurs in the invariant subspace. In addition, we have analyzed different transitions of the extreme outbreak dynamics using bifurcation plots and phase diagrams. The appearance of critical outbreak dynamics reveals a phenomenon known as dragon-kings, where the extreme values in the tail of the distribution depart from the expected pattern described by a power law. We performed comprehensive statistical measures of the dragon-kings test and cumulative probability distribution function to verify the emergence of dragon-kings dynamics in the system.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
