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@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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