Exploring population oscillations: Cross-coupling and dispersal effects in prey-predator dynamics
The result's identifiers
Result code in 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>
Alternative codes found
RIV/00216224:14310/25:00140694
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Exploring population oscillations: Cross-coupling and dispersal effects in prey-predator dynamics
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica D: Nonlinear Phenomena
ISSN
0167-2789
e-ISSN
1872-8022
Volume of the periodical
2025
Issue of the periodical within the volume
472
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
22
Pages from-to
1-22
UT code for WoS article
001424287500001
EID of the result in the Scopus database
2-s2.0-85214783536