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在猎物和合作狩猎中存在Allee效应的情况下,Bazikin的类型猎物-掠食者模型的扩散驱动复杂动态
Shawon Roy1, Biswajit Paul2, Amrit Bose3
1Department of Applied Mathematics, University of Calcutta, Kolkata, West Bengal, India.
Chaos (Woodbury, N.Y.)
|February 3, 2026
概括
这项研究模拟了掠食者-猎物动态与Allee效应和合作狩猎. 扩散驱动模式形成,揭示了生态因素如何影响物种分布.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 理论生态学理论生态学
背景情况:
- 捕食者-猎物模型对于理解生态动态至关重要.
- 艾利效应,合作狩猎和扩散显著影响着种群相互作用.
- 以前的模型往往简化了这些复杂的生态因素.
研究的目的:
- 调查寻找伴侣的艾利效应,合作狩猎和扩散对掠食者-猎物模型的影响.
- 分析时间和扩散模型的稳定性和分叉动态.
- 探索捕食者-猎物系统中空间模式的出现.
主要方法:
- 对平衡状态,稳定性和分叉场景的理论分析 (马节点,霍夫,博格达诺夫-塔肯斯).
- 对于扩散模型的积极性和局限性的数学分析.
- 数字模拟用于验证分析结果并可视化模式形成.
主要成果:
- 该模型表现出复杂的动态,包括各种分叉类型.
- 扩散驱动着各种空间模式的形成,如斑点,条纹和目标模式.
- 捕食者攻击率,Allee效应,合作狩猎和扩散系数对空间分布产生重大影响.
结论:
- 综合模型提供了更现实的捕食者-猎物相互作用的表现.
- 像Allee效应和合作狩猎这样的生态因素对于塑造人口动态和空间结构至关重要.
- 这项研究提供了对影响物种分布和生态稳定因素的复杂相互作用的见解.
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