论文标题
SIR模型的可整合离散化
Integrable discretizations of the SIR model
论文作者
论文摘要
SIR模型的结构提供离散化是通过关注Hodograph变换来提出的，并给出了其离散SIR模型的集成性条件。对于那些可集成的离散SIR模型，我们得出了它们的确切解决方案以及保守的量。如果我们适当地为我们提出的离散SIR模型选择了参数，则可以保留SIR模型的保守量。我们还研究了一个可超过的离散SIR模型。
Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model.
