一个掠食者-猎物分数模型,在猎物物种中出现疾病
Ilse Domínguez-Alemán1, Itzel Domínguez-Alemán1, Juan Carlos Hernández-Gómez1
1Facultad de Matemáticas, Universidad Autónoma de Guerrero, México.
Mathematical biosciences and engineering : MBE
|March 29, 2024
概括
这项研究引入了分数级生态流行病学模型,以探索掠食者-猎物动态与猎物的疾病. 引入捕食者有助于控制在猎物群体中传播的传染病.
科学领域:
- 数学生物学 数学生物学
- 生态生态学 生态生态学
- 流行病学 流行病学
背景情况:
- 生态流行病学模型整合了生态相互作用与疾病动态.
- 分数计算为模拟复杂的生物系统提供了先进的工具.
- 了解捕食者与猎物的相互作用对于生态系统的稳定性和疾病管理至关重要.
研究的目的:
- 开发和分析一个一般化的分数顺序生态流行病学模型,用于捕食者-猎物系统,猎物有疾病.
- 研究疾病对猎物种群的影响以及捕食者在疾病控制中的作用.
- 探索拟议的分数模型的数学特性和稳定性.
主要方法:
- 使用通用卡普托和通用符合导数进行分数顺序分析.
- 使用古典卡普托衍生物证明了解决方案的存在,独特性,非负性和有限性.
- 应用了Routh-Hurwitz稳定性标准和Matignon条件来分析平衡点和非对称行为.
主要成果:
- 建立了分数顺序模型的数学基础,包括解决方案属性.
- 分析了生态流行病学系统内的各种平衡点的稳定性.
- 数字模拟证实了模型在不同的衍生方法下表现的行为.
结论:
- 捕食者引入易受感染的猎物系统可以有效地减轻疾病传播.
- 分数计算为模拟复杂的生态流行病学现象提供了一个强大的框架.
- 这项研究突出了捕食者在捕食群体内的传染病管理中的生态作用.
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