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

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.

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

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10100 1.1 Mathematics
• Country of publisher: Netherlands
• Confidentiality degree: is not subject to a state or trade secret
• WWW: 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
• Tags: rivok
• Tags: International impact, Reviewed

Abstract

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)