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<p>In this paper, we propose a fractional-order prey-predator model with fear effects on the dynamic behavior of the populations. The model is used as a functional response of Holling type II in a non-delayed model. First, we prove several important results such as the existence, uniqueness, and boundedness of the solutions to the fractional-order dynamical system. Next, we discuss both the local and global stabilities of the fractional-order prey-predator model. The occurrence of Hopf bifurcation for fractional order is examined. Finally, the analytical solutions are confirmed through numerical simulations.</p>

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Dynamic behaviour of an eco-epidemiological model of fractional-order with a fear effect

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月24日

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  • Deepak Nallasamy Prabhu Mani,
  • Muthukumar Shanmugam,
  • Mehmet Yavuz,
  • Sivabalan Muthuradhinam

摘要

In this paper, we propose a fractional-order prey-predator model with fear effects on the dynamic behavior of the populations. The model is used as a functional response of Holling type II in a non-delayed model. First, we prove several important results such as the existence, uniqueness, and boundedness of the solutions to the fractional-order dynamical system. Next, we discuss both the local and global stabilities of the fractional-order prey-predator model. The occurrence of Hopf bifurcation for fractional order is examined. Finally, the analytical solutions are confirmed through numerical simulations.