 Predation fear and its carry-over effect in a fractional order prey–predator model with prey refugeErcan Balcı Chaos, Solitons & Fractals, 2023, vol. 175, issue P1 Abstract: This research article centers on the formulation and analysis of a novel prey–predator model that integrates the impacts of predation fear, prey refuge, and carry-over effects. The model is formulated and analyzed using fractional differential equations (FDEs). The model incorporates ecological concepts such as anti-predator behaviours and memory effects to maintain a better understanding of prey–predator interactions. The mathematical model is developed based on a basic prey–predator model with a Michelis–Menten functional response and includes fear-induced carry-over effects, prey refuge, and fractional order derivatives. The study investigates the well-posedness, stability, and Hopf bifurcation of the proposed model and conducts detailed numerical investigations. The integration of different anti-predatory mechanisms and the use of FDEs contribute to a comprehensive understanding of the dynamics of prey–predator interactions and provide useful insights into the complexities of ecological systems. Keywords: Prey–predator; Fear effect; Carry-over effect; Prey refuge; Caputo derivative; Hopf bifurcation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923009177 DOI: 10.1016/j.chaos.2023.114016 Access Statistics for this article Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros More articles in Chaos, Solitons & Fractals from Elsevier |
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