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

Abstract

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

CLC Number:

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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