Poliomyelitis is a worldwide disease that has nearly been eradicated thanks to the Global Polio Eradication Initiative. Nevertheless, the disease is currently still endemic in three countries. In this paper, we incorporate the vaccination in a two age-class model of polio dynamics. Our main objective is to see whether mandatory vaccination policy is needed or if polio could be almost eradicated by a voluntary vaccination. We perform game theoretical analysis and compare the herd immunity vaccination levels with the Nash equilibrium vaccination levels. We show that the gap between two vaccination levels is too large. We conclude that the mandatory vaccination policy is therefore needed to achieve a complete eradication.

中文翻译：

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脊髓灰质炎疫苗接种的博弈论分析。

脊髓灰质炎是一种全球性疾病，这要归功于全球根除脊髓灰质炎行动。尽管如此，该疾病目前仍在三个国家流行。在本文中，我们将疫苗接种纳入脊髓灰质炎动力学的两个年龄级模型中。我们的主要目标是查看是否需要强制性疫苗接种政策，或者是否可以通过自愿接种疫苗根除脊髓灰质炎。我们进行博弈论分析，并将牛群免疫接种水平与纳什均衡接种水平进行比较。我们显示两个疫苗接种水平之间的差距太大。我们得出结论，因此需要采取强制接种政策来实现彻底根除。