通过人口地理数据对两个艾滋病毒菌株感染的时空建模和分析
Peng Wu1, Tong Chen1, Shigui Ruan2
1School of Sciences, Hangzhou Dianzi University, Hangzhou 310018, PR China.
Mathematical biosciences
|October 1, 2025
概括
艾滋病毒/艾滋病的耐药性是一个重大挑战. 这项研究模拟了艾滋病毒传播动态,揭示了人口流动对空间传播和控制策略产生重大影响.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 公共卫生 公共卫生
背景情况:
- 人类免疫缺陷病毒 (HIV) 的耐药性复杂化了治疗和控制工作.
- 耐药性HIV菌株的传播需要了解时空传播动态.
研究的目的:
- 开发和分析HIV传播的反应-扩散模型,考虑药物敏感和耐药菌株.
- 调查空间异质性和人口扩散对艾滋病毒/艾滋病传播的影响.
- 为有效的艾滋病毒/艾滋病预防和监测策略提供见解.
主要方法:
- 为艾滋病毒/艾滋病构建一个两株反应-扩散模型.
- 基本繁殖数 (R0) 的导出,以确定疾病持久性值.
- 在稳定性分析中应用利亚普诺夫函数.
- 使用有限元法 (FEM) 的数值模拟与COMSOL多物理.
- 来自中国江省的人口,地理和菌株特异性数据的整合.
主要成果:
- 基本繁殖数 (R0) 作为艾滋病毒/艾滋病持续性的关键值.
- 高治疗坚持减少了抗药性艾滋病毒病例的发生率.
- 人口扩散模式显著影响艾滋病毒/艾滋病的时空传播.
- 忽视空间扩散差异可能导致对艾滋病毒/艾滋病趋势的不准确预测.
结论:
- 人口流动是艾滋病毒/艾滋病传播的关键因素,需要在预防和控制方面仔细考虑.
- 包含空间动态的数学建模为理解和管理艾滋病毒/艾滋病流行病提供了宝贵的工具.
- 有效的艾滋病毒/艾滋病控制策略必须考虑到空间异质性和人口分散模式.
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