具有媒体播报和早期筛查的HPV传播模型动力学分析
Dynamic Analysis of a Kind of HPV Transmission Model Incorporating Media Impact and Early Screening
DOI: 10.12677/aam.2024.138366, PDF,    科研立项经费支持
作者: 王丽娜, 王晓静*, 李 欣, 刘 堃：北京建筑大学理学院，北京
关键词: HPV；宫颈癌；媒体播报；早期筛查；稳定性；敏感性分析；HPV； Cervical Cancer； Media Impact； Early Screening； Stability； Sensitivity Analysis
摘要: 依据人乳头瘤病毒(Human papilloma virus，简称HPV)传播机理，本文构建了一类具有媒体播报和早期筛查的HPV传播动力学模型。计算了模型控制再生数，证明了当时无病平衡点的全局稳定性，并进行了敏感性分析。结合南非HPV感染者与宫颈癌患者的数据进行了数值模拟，结果表明：提高媒体播报率与早期筛查率能明显减少HPV感染者的数量，从而有效预防和控制HPV传播。
Abstract: Based on the transmission mechanism of Human papilloma virus (HPV), a kind of HPV transmission dynamic model incorporating media coverage and early screening is constructed. The control reproduction number is calculated, and then we prove the global stability of the disease-free equilibrium as . Furthermore, the sensitivity analysis is carried out. According to the data of HPV infection and cervical cancer in South Africa, numerical simulations are performed, and the results show that improving the media coverage rate and early screening rate can significantly reduce the number of HPV infected people, therefore effectively prevent and control HPV transmission.
文章引用：王丽娜, 王晓静, 李欣, 刘堃. 具有媒体播报和早期筛查的HPV传播模型动力学分析[J]. 应用数学进展, 2024, 13(8): 3845-3857. https://doi.org/10.12677/aam.2024.138366

参考文献

[1] Akimenko, V.V. and Adi-Kusumo, F. (2021) Stability Analysis of an Age-Structured Model of Cervical Cancer Cells and HPV Dynamics. Mathematical Biosciences and Engineering, 18, 6155-6177. [Google Scholar] [CrossRef] [PubMed]
[2] 庞留勇, 赵中, 李秋英. 宫颈癌放射治疗的数学模型研究[J]. 信阳师范学院学报(自然科学版), 2022, 35(1): 1-6.
[3] 中华预防医学会疫苗与免疫分会. 子宫颈癌等人乳头瘤病毒相关疾病免疫预防专家共识[J]. 中华预防医学杂志, 2019, 53(8): 761-803.
[4] Valle, P.A., Coria, L.N. and Salazar, Y. (2019) Tumor Clearance Analysis on a Cancer Chemo-Immunotherapy Mathematical Model. Bulletin of Mathematical Biology, 81, 4144-4173. [Google Scholar] [CrossRef] [PubMed]
[5] Li, K., Li, Q., Song, L., Wang, D. and Yin, R. (2019) The Distribution and Prevalence of Human Papillomavirus in Women in Mainland China. Cancer, 125, 1030-1037. [Google Scholar] [CrossRef] [PubMed]
[6] Chesson, H.W., Dunne, E.F., Hariri, S. and Markowitz, L.E. (2014) The Estimated Lifetime Probability of Acquiring Human Papillomavirus in the United States. Sexually Transmitted Diseases, 41, 660-664. [Google Scholar] [CrossRef] [PubMed]
[7] Xia, C., Dong, X., Li, H., Cao, M., Sun, D., He, S., et al. (2022) Cancer Statistics in China and United States, 2022: Profiles, Trends, and Determinants. Chinese Medical Journal, 135, 584-590. [Google Scholar] [CrossRef] [PubMed]
[8] Lata, K., Misra, A.K. and Takeuchi, Y. (2021) Modeling the Effectiveness of TV and Social Media Advertisements on the Dynamics of Water-Borne Diseases. International Journal of Biomathematics, 15, Article ID: 2150069. [Google Scholar] [CrossRef] 
[9] 岳帆, 侯向萍, 咸敏, 魏策. 6620例已婚妇女HPV感染现状及影响因素分析[J]. 分子诊断与治疗杂志, 2022, 14(3): 512-515, 520.
[10] 黄雪蕾. 对高危型HPV持续感染的影响因素及联合用药策略研究[J]. 中外女性健康研究, 2024(2): 92-94.
[11] Lee, S.L. and Tameru, A.M. (2012) A Mathematical Model of Human Papillomavirus (HPV) in the United States and Its Impact on Cervical Cancer. Journal of Cancer, 3, 262-268. [Google Scholar] [CrossRef] [PubMed]
[12] 王晓静, 高金风, 张蒙, 许传青, 李泽妤. 一类具有媒体干预的HPV传染病数学模型分析[J]. 北京建筑大学学报, 2018, 34(1): 58-63.
[13] Zhang, K., Ji, Y., Pan, Q., Wei, Y., Ye, Y. and Liu, H. (2020) Sensitivity Analysis and Optimal Treatment Control for a Mathematical Model of Human Papillomavirus Infection. AIMS Mathematics, 5, 2646-2670. [Google Scholar] [CrossRef] 
[14] Zhang, K., Wang, X., Liu, H., Ji, Y., Pan, Q., Wei, Y., et al. (2020) Mathematical Analysis of a Human Papillomavirus Transmission Model with Vaccination and Screening. Mathematical Biosciences and Engineering, 17, 5449-5476. [Google Scholar] [CrossRef] [PubMed]
[15] Alsaleh, A.A. and Gumel, A.B. (2014) Dynamics Analysis of a Vaccination Model for HPV Transmission. Journal of Biological Systems, 22, 555-599. [Google Scholar] [CrossRef] 
[16] Omame, A., Umana, R.A., Okuonghae, D. and Inyama, S.C. (2018) Mathematical Analysis of a Two-Sex Human Papillomavirus (HPV) Model. International Journal of Biomathematics, 11, Article ID: 1850092. [Google Scholar] [CrossRef] 
[17] 马知恩, 周义仓, 李承治. 常微分方程定性与稳定性方法[M]. 北京: 科学出版社, 2015: 23-39.
[18] Malik T., Reimer J., Gumel A., Elbasha E. and Mahmud S. (2013) The Impact of an Imperfect Vaccine and Pap Cytology Screening on the Transmission of Human Papillomavirus and Occurrence of Associated Cervical Dysplasia and Cancer. Mathematical Biosciences and Engineering, 10, 1173-1205.
[19] Brauer, F. and Castillo-Chavez, C. (2012) Mathematical Models in Population Biology and Epidemiology. 2nd Edition, Springer, 345-404.
[20] Castillo-Chavez, C., Feng, Z. and Huang, W. (2002) On the Computation of R0 and Its Role on Global Stability. In: Friedman, A., et al., Eds., The IMA Volumes in Mathematics and Its Applications, Springer, 229-250. [Google Scholar] [CrossRef] 
[21] Guo, S., Ma, W. and Zhao, X. (2017) Global Dynamics of a Time-Delayed Microorganism Flocculation Model with Saturated Functional Responses. Journal of Dynamics and Differential Equations, 30, 1247-1271. [Google Scholar] [CrossRef] 

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