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<p>In this paper, we propose a system of delay differential equations to represent predator-prey eco-epidemic dynamics. The model incorporates the effects of predation risk-induced fear on prey and collaborative hunting strategies of predators. The crucial aim of the study is to analyze the system’s dynamics under the influence of predator-hunting cooperation, discrete-time delay, and fear effect. We investigate essential mathematical features of the proposed model, such as boundedness, persistence, local stability, and Hopf-bifurcation around the positive steady state of the system. Finally, using a varied set of parameters, we perform several numerical simulations to demonstrate our analytical findings.</p>

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Dynamics stability of a delayed eco-epidemic predator-prey system: the interplay of cooperative hunting and fear effects

  • 期刊论文

  • 发表日期：

    2025年6月19日

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  • Benamara Ibtissam,
  • Ibrihich Ouafaa,
  • Lasri Imane,
  • Esghir Mustapha

摘要

In this paper, we propose a system of delay differential equations to represent predator-prey eco-epidemic dynamics. The model incorporates the effects of predation risk-induced fear on prey and collaborative hunting strategies of predators. The crucial aim of the study is to analyze the system’s dynamics under the influence of predator-hunting cooperation, discrete-time delay, and fear effect. We investigate essential mathematical features of the proposed model, such as boundedness, persistence, local stability, and Hopf-bifurcation around the positive steady state of the system. Finally, using a varied set of parameters, we perform several numerical simulations to demonstrate our analytical findings.