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We study a stochastic and deterministic prey-predator model including positive density-dependent prey growth to comprehend the influence of environmental fluctuations and key parameters on the dynamical behaviors. The study incorporates Allee effect, fear effect and prey refuge to demonstrate their influence on the dynamic behavior. We consider the refuge of prey, which depends upon the level of fear of predator. The extinction and persistence criteria have been analyzed in both systems numerically. It is observed that high noise intensity has a positive impact on the extinction of the prey-predator system, leading to a quicker extinction of the species with increased noise intensity.

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Dynamics of a Stochastic Prey-Predator Model with Allee Effect and Fear Dependent Prey Refuge

  • 会议论文

  • 发表日期：

    2025年

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  • Pritha Das,
  • Mst Sebi Khatun,
  • Kiriti Bhusan Mahato

摘要

We study a stochastic and deterministic prey-predator model including positive density-dependent prey growth to comprehend the influence of environmental fluctuations and key parameters on the dynamical behaviors. The study incorporates Allee effect, fear effect and prey refuge to demonstrate their influence on the dynamic behavior. We consider the refuge of prey, which depends upon the level of fear of predator. The extinction and persistence criteria have been analyzed in both systems numerically. It is observed that high noise intensity has a positive impact on the extinction of the prey-predator system, leading to a quicker extinction of the species with increased noise intensity.