Exploring population oscillations: Cross-coupling and dispersal effects in prey-predator dynamics

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26510%2F26%3A0198156" target="_blank" >RIV/00216305:26510/26:0198156 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/00216224:14310/25:00140694

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0167278925000041" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167278925000041</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.physd.2025.134525" target="_blank" >10.1016/j.physd.2025.134525</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Exploring population oscillations: Cross-coupling and dispersal effects in prey-predator dynamics

Popis výsledku v původním jazyce

In this investigation, we explore the dynamics of a predator-prey metapopulation model with two identical patches, emphasizing the coupling mechanism through the predators' dispersal. The coupling mechanism is a particular case of nearest-neighbor coupling, defined by cross-predation, which depicts the fact that the predators have alternative food resources. The study focuses on how dispersion rates and cross-predation affect species coexistence and system dynamics induced by different kinds of bifurcations associated with periodic orbits and stable states. We examined the structural organization of attractors using bifurcation theory and discovered a variety of intricate dynamics, such as symmetric, asymmetric, boundary, and asynchronous attractors. The onset of synchronous and asynchronous dynamical attractors associated with periodic orbits are analyzed by varying the level of coupling strength and the degree of dispersal rates. Another intriguing phenomenon that occurs in our system is the formation of chaotic attractors with asymmetric dynamics from quasi-periodicity as a result of the Neimark-Sacker (NS) bifurcation. We elucidate the emergence and suppression of chaos using the Poincare return map concept. Our system also exhibits intriguing phenomena, such as bistability and multistability, which indicate that it is capable of preserving ecological diversity and enhancing the level of population persistence. Finally, our findings demonstrate that the system's dynamics are substantially diverse when the dispersal rate is low with limited coupling strengths. The conclusions have a significant impact on the fields of population and evolution science, improving our knowledge of the complex dynamics found in dispersed ecosystems.

Název v anglickém jazyce

Exploring population oscillations: Cross-coupling and dispersal effects in prey-predator dynamics

Popis výsledku anglicky

In this investigation, we explore the dynamics of a predator-prey metapopulation model with two identical patches, emphasizing the coupling mechanism through the predators' dispersal. The coupling mechanism is a particular case of nearest-neighbor coupling, defined by cross-predation, which depicts the fact that the predators have alternative food resources. The study focuses on how dispersion rates and cross-predation affect species coexistence and system dynamics induced by different kinds of bifurcations associated with periodic orbits and stable states. We examined the structural organization of attractors using bifurcation theory and discovered a variety of intricate dynamics, such as symmetric, asymmetric, boundary, and asynchronous attractors. The onset of synchronous and asynchronous dynamical attractors associated with periodic orbits are analyzed by varying the level of coupling strength and the degree of dispersal rates. Another intriguing phenomenon that occurs in our system is the formation of chaotic attractors with asymmetric dynamics from quasi-periodicity as a result of the Neimark-Sacker (NS) bifurcation. We elucidate the emergence and suppression of chaos using the Poincare return map concept. Our system also exhibits intriguing phenomena, such as bistability and multistability, which indicate that it is capable of preserving ecological diversity and enhancing the level of population persistence. Finally, our findings demonstrate that the system's dynamics are substantially diverse when the dispersal rate is low with limited coupling strengths. The conclusions have a significant impact on the fields of population and evolution science, improving our knowledge of the complex dynamics found in dispersed ecosystems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physica D: Nonlinear Phenomena

ISSN

0167-2789

e-ISSN

1872-8022

Svazek periodika

2025

Číslo periodika v rámci svazku

472

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

22

Strana od-do

1-22

Kód UT WoS článku

001424287500001

EID výsledku v databázi Scopus

2-s2.0-85214783536