Journal
CHAOS SOLITONS & FRACTALS
Volume 175, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2023.114016
Keywords
Prey-predator; Fear effect; Carry-over effect; Prey refuge; Caputo derivative; Hopf bifurcation
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This research article focuses on a new prey-predator model that takes into account the effects of predation fear, prey refuge, and carry-over effects. The model is analyzed using fractional differential equations (FDEs) and incorporates concepts such as anti-predator behaviors and memory effects. The study investigates the well-posedness, stability, and Hopf bifurcation of the model and provides valuable insights into the dynamics and complexities of prey-predator interactions.
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.
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