DeLegge Anthony, Hunzinger Katie, Khatri Reema, Munir Kiran
Benedictine University, 5700 College Road, Lisle, IL, 60532, USA,
Bull Math Biol. 2015 Mar;77(3):499-513. doi: 10.1007/s11538-015-0069-5. Epub 2015 Feb 20.
Many diseases, such as the seasonal flu, tetanus, and smallpox, can be vaccinated against with a single dose of a vaccine. However, some diseases require multiple doses of a vaccine for immunity. For example, Hepatitis B requires three doses of a vaccine, with the second occurring about 1 month after the first and the third occurring about 5 months after the second, for immunity. Diseases requiring a multistage vaccine such as Hepatitis B can have extra complications with its vaccination program, as some who start the doses may forget to complete the program or could become infected before completing the program. This article concerns the setup and analysis of a model for disease spread with a multistage vaccine available to investigate how effective such a vaccine would be at establishing herd immunity for the disease as well as establishing the short-term and long-term effects of such a vaccine.
许多疾病，如季节性流感、破伤风和天花，只需接种一剂疫苗就能预防。然而，有些疾病需要接种多剂疫苗才能产生免疫力。例如，乙肝疫苗需要接种三剂，第二剂在第一剂后约1个月接种，第三剂在第二剂后约5个月接种，以产生免疫力。像乙肝这样需要多阶段接种疫苗的疾病，其接种计划可能会出现额外的并发症，因为一些开始接种的人可能会忘记完成整个接种计划，或者在完成计划之前就可能被感染。本文涉及一种疾病传播模型的建立和分析，该模型有可用的多阶段疫苗，用于研究这种疫苗在建立群体免疫以及确定这种疫苗的短期和长期效果方面的有效性。
