Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map

Mohammed O. Al-Kaff; Hamdy A. El-Metwally; Abd Elalim A. Elsadany; Elmetwally M. Elabbasy

doi:10.1038/s41598-024-62439-8

Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map

Mohammed O. Al-Kaff, Hamdy A. El-Metwally, Abd Elalim A. Elsadany, Elmetwally M. Elabbasy

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of transcritical bifurcations, period-doubling bifurcations, and Neimark-Sacker bifurcations that arise from coexisting positive fixed points. By employing central bifurcation theory and bifurcation theory techniques. Chaotic behavior is analyzed using Marotto’s approach. The OGY feedback control method is implemented to control chaos. Theoretical findings are validated through numerical simulations.

Original language	English
Article number	16118
Journal	Scientific Reports
Volume	14
Issue number	1
DOIs	https://doi.org/10.1038/s41598-024-62439-8
State	Published - Dec 2024
Externally published	Yes

Keywords

Bifurcation
Chaos
Coupled-logistic map
Marotto’s map
Predator–prey model
Stability

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1038/s41598-024-62439-8

Cite this

@article{70eb398c437a4c959edff481514faf89,

title = "Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map",

abstract = "This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system{\textquoteright}s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of transcritical bifurcations, period-doubling bifurcations, and Neimark-Sacker bifurcations that arise from coexisting positive fixed points. By employing central bifurcation theory and bifurcation theory techniques. Chaotic behavior is analyzed using Marotto{\textquoteright}s approach. The OGY feedback control method is implemented to control chaos. Theoretical findings are validated through numerical simulations.",

keywords = "Bifurcation, Chaos, Coupled-logistic map, Marotto{\textquoteright}s map, Predator–prey model, Stability",

author = "Al-Kaff, \{Mohammed O.\} and El-Metwally, \{Hamdy A.\} and Elsadany, \{Abd Elalim A.\} and Elabbasy, \{Elmetwally M.\}",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2024.",

year = "2024",

month = dec,

doi = "10.1038/s41598-024-62439-8",

language = "English",

volume = "14",

journal = "Scientific Reports",

issn = "2045-2322",

publisher = "Nature Publishing Group",

number = "1",

}

TY - JOUR

T1 - Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map

AU - Al-Kaff, Mohammed O.

AU - El-Metwally, Hamdy A.

AU - Elsadany, Abd Elalim A.

AU - Elabbasy, Elmetwally M.

N1 - Publisher Copyright: © The Author(s) 2024.

PY - 2024/12

Y1 - 2024/12

N2 - This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of transcritical bifurcations, period-doubling bifurcations, and Neimark-Sacker bifurcations that arise from coexisting positive fixed points. By employing central bifurcation theory and bifurcation theory techniques. Chaotic behavior is analyzed using Marotto’s approach. The OGY feedback control method is implemented to control chaos. Theoretical findings are validated through numerical simulations.

AB - This research paper investigates discrete predator-prey dynamics with two logistic maps. The study extensively examines various aspects of the system’s behavior. Firstly, it thoroughly investigates the existence and stability of fixed points within the system. We explores the emergence of transcritical bifurcations, period-doubling bifurcations, and Neimark-Sacker bifurcations that arise from coexisting positive fixed points. By employing central bifurcation theory and bifurcation theory techniques. Chaotic behavior is analyzed using Marotto’s approach. The OGY feedback control method is implemented to control chaos. Theoretical findings are validated through numerical simulations.

KW - Bifurcation

KW - Chaos

KW - Coupled-logistic map

KW - Marotto’s map

KW - Predator–prey model

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=85198374675&partnerID=8YFLogxK

U2 - 10.1038/s41598-024-62439-8

DO - 10.1038/s41598-024-62439-8

M3 - Article

C2 - 38997275

AN - SCOPUS:85198374675

SN - 2045-2322

VL - 14

JO - Scientific Reports

JF - Scientific Reports

IS - 1

M1 - 16118

ER -

Exploring chaos and bifurcation in a discrete prey–predator based on coupled logistic map

Abstract

Keywords

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this