论文标题
SEIR流行模型的不整合性
Nonintegrability of the SEIR epidemic model
论文作者
论文摘要
我们证明了Bogoyavlenskij感官中易感暴露感染的被感染的（SEIR）流行模型的不整合性。 SEIR模型的这种属性不同于更基本的易感性感染的（SIR）模型，该模型是Bogoyavlenskij-Nonyntegrenter的。我们证明的基本工具是由于Ayoul和Zung引起的Morales-ramis理论的扩展。此外，我们将系统扩展到六维系统，以治疗先验的第一积分和交换矢量场。我们还使用这样一个事实，即不完整的伽马函数$γ（α，x）$不是$α\ not \ in \ mathbb {n} $的基本，其中包括一个证明。
We prove the nonintegrability of the susceptible-exposed-infected-removed (SEIR) epidemic model in the Bogoyavlenskij sense. This property of the SEIR model is different from the more fundamental susceptible-infected-removed (SIR) model, which is Bogoyavlenskij-nonintegrable. Our basic tool for the proof is an extension of the Morales-Ramis theory due to Ayoul and Zung. Moreover, we extend the system to a six-dimensional system to treat transcendental first integrals and commutative vector fields. We also use the fact that the incomplete gamma function $Γ(α,x)$ is not elementary for $α\not\in\mathbb{N}$, of which a proof is included.
