Scholarlink

<p>This study explores the dynamics of a discrete-time predator–prey model derived from a continuous framework, integrating factors such as prey vigilance, refuge availability, water resources, and moonlight. The model captures realistic ecological scenarios where vigilance reduces predation success but also incurs energetic and temporal costs, leading to diminished prey population growth. Additionally, mammalian prey consumption is influenced by the availability of refuge, water resources, and moonlight intensity, reflecting key environmental and behavioral factors. The analysis examines the boundedness of solutions, the stability and existence of fixed points, and the emergence of bifurcations. The study emphasizes codimension-one bifurcations, including Neimark–Sacker bifurcations, and codimension-two bifurcations, such as 1:2 resonance. Detailed numerical simulations are employed to investigate the complex dynamics arising from these bifurcations, providing significant insights into the model’s behavior. The findings contribute to a deeper understanding of how ecological and environmental factors interact in predator–prey systems and their implications for ecosystem stability.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Stability and bifurcation analysis in a novel discrete prey-predator system incorporating moonlight, water availability, and vigilance effects

  • 期刊论文

  • 发表日期：

    2025年5月27日

查看全文
  • Karima Mokni,
  • Ashraf Adnan Thirthar,
  • Mohamed Ch-Chaoui,
  • Shireen Jawad,
  • Muhammad Aqib Abbasi

摘要

This study explores the dynamics of a discrete-time predator–prey model derived from a continuous framework, integrating factors such as prey vigilance, refuge availability, water resources, and moonlight. The model captures realistic ecological scenarios where vigilance reduces predation success but also incurs energetic and temporal costs, leading to diminished prey population growth. Additionally, mammalian prey consumption is influenced by the availability of refuge, water resources, and moonlight intensity, reflecting key environmental and behavioral factors. The analysis examines the boundedness of solutions, the stability and existence of fixed points, and the emergence of bifurcations. The study emphasizes codimension-one bifurcations, including Neimark–Sacker bifurcations, and codimension-two bifurcations, such as 1:2 resonance. Detailed numerical simulations are employed to investigate the complex dynamics arising from these bifurcations, providing significant insights into the model’s behavior. The findings contribute to a deeper understanding of how ecological and environmental factors interact in predator–prey systems and their implications for ecosystem stability.