Dynamics of Predator–Prey Model Based on Fear Effect with Bifurcation Analysis and Chaos Control

• Waqas Ishaque ^[1] ; Qamar Din ^[1] ; Khuram Ali Khan ^[2] ; Rostin Matendo Mabela ^[3]
  1. [1] University of Poonch Rawalakot
  2. [2] University of Sargodha
  3. [3] University of Kinshasa

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 1, 2024
• Idioma: inglés
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• Resumen

  • Recent studies on terrestrial vertebrates have unveiled a correlation between fear of predators and a reduction in anti-predator defenses, leading to a significant decline in prey reproduction. Given the critical importance of prey population levels, we have introduced a fear factor into a discrete-time predator–prey model to investigate its influence on the complex and dynamic behavior of the system This research primarily focuses on assessing the local stability of both trivial and boundary equilibrium points and exploring the criteria for Neimark–Sacker and period-doubling bifurcations. Moreover, we have applied chaos control techniques to identify the stability region and corroborated our theoretical findings through experimental data. Unlike previous research, our study incorporates chaos control methodology and experimental data validation. Consequently, it contributes significantly to the comprehension of predator–prey interactions by incorporating the influence of fear on prey reproduction. Furthermore, this research introduces novelty and reliability for future investigations by integrating chaos control techniques and validating the findings using experimental data.

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