捕食者-猎物系统的稳定性和分支分析,其反控制的气味和风驱动的衰变
Dipam Das1, Debasish Bhattacharjee2, Subarna Roy3
1Department of Mathematics, B B Kishan College, Assam, India.
Mathematical biosciences
|October 30, 2025
概括
这项研究引入了一个新的模型,捕食者-猎物化学通信 (气味) 是动态的. 该模型揭示了受捕食者密度影响的气味度如何影响猎物警和捕食者成功.
科学领域:
- 生态生态学 生态生态学
- 数学生物学 数学生物学
- 化学生态化学生态学
背景情况:
- 捕食者与猎物的相互作用依赖于化学通信 (气味).
- 现有的模型将气味视为静态,忽视其动态性质和与人口动态的反.
- 气味影响猎物警和捕食者狩猎效率.
研究的目的:
- 开发一种新的捕食者-猎物化学通信的3D数学模型.
- 将气味度纳入作为由捕食者密度和物种相互作用影响的动态变量.
- 分析模型的定性动态和气味对猎物行为的影响.
主要方法:
- 开发了一个三维数学模型.
- 包括气味的产生,环境腐烂 (风消散) 和对猎物的非消耗性影响.
- 进行了平衡的稳定性分析和分叉分析 (过临界,Hopf).
- 检查了跨两个参数空间的系统动态,并进行了数值模拟.
- 计算机规范化前期灵敏度指数用于评估参数影响.
主要成果:
- 该模型捕捉了捕食者密度,气味度和猎物警之间的动态相互作用.
- 稳定性分析揭示了复杂的动态,并确定了关键值 (分叉).
- 数字模拟证实了理论发现,并突出了关键参数对系统行为的影响.
结论:
- 这种动态模型提供了在捕食者-猎物系统中更现实的化学通信表示.
- 气味度是影响猎物的行为和生态相互作用的关键,动态因素.
- 这些发现提供了关于控制捕食者-猎物动态和化学生态的反机制的见解.
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