Complex dynamics in prey-predator systems with cross-coupling:
Exploring nonlinear interactions and population oscillations

J 2024

Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations

SEN, Deeptajyoti a Lenka PŘIBYLOVÁ

Základní údaje

Originální název

Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations

Autoři

SEN, Deeptajyoti (356 Indie, garant, domácí) a Lenka PŘIBYLOVÁ (203 Česká republika, domácí)

Vydání

Communications in Nonlinear Science and Numerical Simulation, Elsevier Ltd, 2024, 1007-5704

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10100 1.1 Mathematics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.900 v roce 2022

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1016/j.cnsns.2024.108154

UT WoS

001309253200001

Klíčová slova anglicky

Conjugate coupling; Prey-predator interaction; In-phase and anti-phase synchronization; Allee effect; Hunting cooperation

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 24. 9. 2024 14:11, Mgr. Marie Šípková, DiS.

Anotace

V originále

This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous attractors induced by varying cross-coupling levels. Notably, our study describes a novel mechanism for the formation of anti-phase synchrony in the patches. Unlike typical occurrences of a cycle following Hopf bifurcation, our model reveals that the anti-phase cycle stabilizes via Neimark-Sacker (NS) bifurcation of a two-period unstable cycle branch emanating from the synchronous cycle branch. Our findings also demonstrate that cross-feeding can lead to significant ecosystem asymmetry and branching, culminating in the dominance of a single cross-feeding chain. These results challenge traditional models and highlight the presence of multistability and the potential for ecosystem evolution towards distinct subsystem branches due to cross-predation. The study’s insights offer valuable contributions to population and evolutionary biology, enhancing our understanding of the intricate dynamics within fragmented ecosystems. This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous attractors induced by varying cross-coupling levels. Notably, our study describes a novel mechanism for the formation of anti-phase synchrony in the patches. Unlike typical occurrences of a cycle following Hopf bifurcation, our model reveals that the anti-phase cycle stabilizes via Neimark-Sacker (NS) bifurcation of a two-period unstable cycle branch emanating from the synchronous cycle branch. Our findings also demonstrate that cross-feeding can lead to significant ecosystem asymmetry and branching, culminating in the dominance of a single cross-feeding chain. These results challenge traditional models and highlight the presence of multistability and the potential for ecosystem evolution towards distinct subsystem branches due to cross-predation. The study’s insights offer valuable contributions to population and evolutionary biology, enhancing our understanding of the intricate dynamics within fragmented ecosystems.

Návaznosti

MUNI/A/1132/2022, interní kód MU

Název: Matematické a statistické modelování 7

Investor: Masarykova univerzita, Matematické a statistické modelování 7

101063853, interní kód MU

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

Investor: Evropská unie, Models with cross-interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes., Marie Skłodowska-Curie Postdoctoral Fellowships (MSCA PF)

Citovat

SEN, Deeptajyoti a Lenka PŘIBYLOVÁ. Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations. Communications in Nonlinear Science and Numerical Simulation. Elsevier Ltd, 2024, roč. 137, October 2024, s. 1-24. ISSN 1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2024.108154.

@article{2418598,
   author = {Sen, Deeptajyoti and Přibylová, Lenka},
   article_number = {October 2024},
   doi = {http://dx.doi.org/10.1016/j.cnsns.2024.108154},
   keywords = {Conjugate coupling; Prey-predator interaction; In-phase and anti-phase synchronization; Allee effect; Hunting cooperation},
   language = {eng},
   issn = {1007-5704},
   journal = {Communications in Nonlinear Science and Numerical Simulation},
   title = {Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations},
   url = {https://www.sciencedirect.com/science/article/pii/S1007570424003393},
   volume = {137},
   year = {2024}
}

TY  - JOUR
ID  - 2418598
AU  - Sen, Deeptajyoti - Přibylová, Lenka
PY  - 2024
TI  - Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations
JF  - Communications in Nonlinear Science and Numerical Simulation
VL  - 137
IS  - October 2024
SP  - 1-24
EP  - 1-24
PB  - Elsevier Ltd
SN  - 10075704
KW  - Conjugate coupling
KW  - Prey-predator interaction
KW  - In-phase and anti-phase synchronization
KW  - Allee effect
KW  - Hunting cooperation
UR  - https://www.sciencedirect.com/science/article/pii/S1007570424003393
N2  - This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous attractors induced by varying cross-coupling levels. Notably, our study describes a novel mechanism for the formation of anti-phase synchrony in the patches. Unlike typical occurrences of a cycle following Hopf bifurcation, our model reveals that the anti-phase cycle stabilizes via Neimark-Sacker (NS) bifurcation of a two-period unstable cycle branch emanating from the synchronous cycle branch. Our findings also demonstrate that cross-feeding can lead to significant ecosystem asymmetry and branching, culminating in the dominance of a single cross-feeding chain. These results challenge traditional models and highlight the presence of multistability and the potential for ecosystem evolution towards distinct subsystem branches due to cross-predation. The study’s insights offer valuable contributions to population and evolutionary biology, enhancing our understanding of the intricate dynamics within fragmented ecosystems. This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous attractors induced by varying cross-coupling levels. Notably, our study describes a novel mechanism for the formation of anti-phase synchrony in the patches. Unlike typical occurrences of a cycle following Hopf bifurcation, our model reveals that the anti-phase cycle stabilizes via Neimark-Sacker (NS) bifurcation of a two-period unstable cycle branch emanating from the synchronous cycle branch. Our findings also demonstrate that cross-feeding can lead to significant ecosystem asymmetry and branching, culminating in the dominance of a single cross-feeding chain. These results challenge traditional models and highlight the presence of multistability and the potential for ecosystem evolution towards distinct subsystem branches due to cross-predation. The study’s insights offer valuable contributions to population and evolutionary biology, enhancing our understanding of the intricate dynamics within fragmented ecosystems.
ER  -

SEN, Deeptajyoti a Lenka PŘIBYLOVÁ. Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations. \textit{Communications in Nonlinear Science and Numerical Simulation}. Elsevier Ltd, 2024, roč.~137, October 2024, s.~1-24. ISSN~1007-5704. Dostupné z: https://dx.doi.org/10.1016/j.cnsns.2024.108154.

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