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Mathematical Biosciences and Engineering
Article . 2024 . Peer-reviewed
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https://dx.doi.org/10.60692/pq...
Other literature type . 2024
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Other literature type . 2024
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Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect

تحليل الاستقرار والتشعب لنظام بري المفترس المنفصل من نوع ريكر مع تأثير الملجأ
Authors: Parvaiz Ahmad Naik; M.A. Amer; Rizwan Ahmed; Sania Qureshi; Zhengxin Huang;

Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect

Abstract

<abstract><p>The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities of a discrete-time predator-prey system with a refuge effect. The analysis investigated the presence and stability of fixed points, as well as period-doubling and Neimark-Sacker (NS) bifurcations. The bifurcating and fluctuating behavior of the system was controlled via feedback and hybrid control methods. In addition, numerical simulations were performed as evidence to back up our theoretical findings. According to our findings, maintaining an optimal level of refuge availability was critical for predator and prey population cohabitation and stability.</p></abstract>

Keywords

Artificial intelligence, ricker, Population Dynamics, Predation, Dynamics of Synchronization in Complex Networks, Sociology, period-doubling bifurcation, Stability (learning theory), Ecology, Evolutionary Dynamics of Genetic Adaptation and Mutation, Physics, Life Sciences, FOS: Sociology, Disease Transmission and Population Dynamics, Physical Sciences, Medicine, Bifurcation, chaos control, Predator-Prey Interactions, Predator, Biotechnology, Computer Networks and Communications, Population, Control (management), Models, Biological, Quantum mechanics, Biochemistry, Genetics and Molecular Biology, Health Sciences, Machine learning, QA1-939, Genetics, Control theory (sociology), FOS: Mathematics, Animals, Biology, Ecosystem, Demography, Public Health, Environmental and Occupational Health, stability, neimark-sacker (ns) bifurcation, Applied mathematics, Computer science, Predatory Behavior, FOS: Biological sciences, refuge, Computer Science, Nonlinear system, predator-prey system, TP248.13-248.65, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Top 10%
Top 10%
Top 10%
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