个体迁移对艾滋病传播动力学的影响研究

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (1): 150-157.

个体迁移对艾滋病传播动力学的影响研究

程婉婷, 罗晓峰, 冯姗姗^*

中北大学数学学院, 山西太原 030051

收稿日期:2024-09-24 出版日期:2025-02-28 发布日期:2025-03-03
通讯作者: 冯姗姗(1992-),女,山西晋城人,博士,副教授. Email:fengshanshan@nuc.edu.cn
基金资助:
国家自然科学基金(12201583,12101573),山西省基础研究计划资助项目(20210302124608,20210302124381)

Study on the influence of individual migration on HIV/AIDS transmission dynamics

CHENG Wan-ting, LUO Xiao-feng, FENG Shan-shan

School of Mathematics, North University of China, Taiyuan 030051, China

Received:2024-09-24 Online:2025-02-28 Published:2025-03-03

摘要/Abstract

摘要： 聚焦于个体迁移对艾滋病传播动力学的影响,提出了耦合同性传播、异性传播以及个体迁移的斑块动力学模型,计算了基本再生数,并证明了无病平衡点的稳定性及地方病平衡点的存在性.数值模拟验证了理论结果,并探究了不同迁移模式对艾滋病传播的影响. 研究表明,迁移网络的连通性对艾滋病的传播速度、高峰规模和最终传播规模有显著影响.当迁移网络连通时,不同迁移模式对艾滋病的最终传播规模无影响;平均度越大,艾滋病的传播速度越快,高峰规模越大;平均度相同时,度的异质性会促进艾滋病的传播.此外,限制艾滋病毒感染者的迁移可以有效遏制艾滋病的传播.这些工作将为艾滋病的防控工作提供理论依据.

关键词: 艾滋病, 个体迁移, 性传播, 斑块动力学

Abstract: Focusing on the influence of individual migration on HIV/AIDS transmission dynamics, a patch dynamics model coupled with homosexual transmission, heterosexual transmission, and individual migration is proposed. The basic reproduction number is calculated, and the stability of disease-free equilibrium as well as the existence of endemic equilibrium are proved. Numerical simulations verify the theoretical results and explore the effects of different migration modes on HIV/AIDS transmission. Research shows that the connectivity of the migration network has a significant impact on the speed, peak scale, and final scale of HIV/AIDS spread. Specifically, when the migration network is connected, different migration modes have no influence on the final spread scale of HIV/AIDS. The greater the average degree, the faster the spread of HIV/AIDS, and the larger the peak scale. Moreover, when the average degree is the same, the heterogeneity of the degree promotes the spread of HIV/AIDS. In addition, limiting the migration of people living with HIV can effectively curb the spread of HIV/AIDS. These work provides a theoretical basis for the prevention and control of HIV/AIDS.

Key words: HIV/AIDS, individual migration, sexual transmission, patch dynamics

中图分类号:

程婉婷, 罗晓峰, 冯姗姗. 个体迁移对艾滋病传播动力学的影响研究[J]. 兰州理工大学学报, 2025, 51(1): 150-157.

CHENG Wan-ting, LUO Xiao-feng, FENG Shan-shan. Study on the influence of individual migration on HIV/AIDS transmission dynamics[J]. Journal of Lanzhou University of Technology, 2025, 51(1): 150-157.

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