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 and Lenka PŘIBYLOVÁ

Basic information

Original name

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

Authors

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

Edition

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

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10100 1.1 Mathematics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 3.900 in 2022

Organization unit

Faculty of Science

DOI

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

UT WoS

001309253200001

Keywords in English

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

Abstract

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.

Links

MUNI/A/1132/2022, interní kód MU

Name: Matematické a statistické modelování 7

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

SEN, Deeptajyoti and 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, vol. 137, October 2024, p. 1-24. ISSN 1007-5704. Available from: 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 and 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, vol.~137, October 2024, p.~1-24. ISSN~1007-5704. Available from: https://dx.doi.org/10.1016/j.cnsns.2024.108154.

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