Kanchanarat Siwaphorn, Nudee Kadkanok, Chinviriyasit Settapat, Chinviriyasit Wirawan
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok, Thailand.
Faculty of Science and Technology Suratthani Rajabhat University, Surat Thani, Thailand.
Infect Dis Model. 2023 Aug 12;8(4):964-979. doi: 10.1016/j.idm.2023.08.001. eCollection 2023 Dec.
Although the incidence of measles has been significantly reduced through vaccination, it remains an important public health problem. In this paper, a measles model with pulse vaccination is formulated to investigate the influential pulse vaccination on the period of time for the extinction of the disease. The threshold value of the formulated model, called the control reproduction number and denoted by , is derived. It is found that the disease-free periodic solution of the model exists and is globally attractivity whenever in the sense that measles is eliminated. If , the positive solution of the model exists and is permanent which indicates the disease persists in the community. Theoretical conditions for disease eradication under various constraints are given. The effect of pulse vaccination is explored using data from Thailand. The results obtained can guide policymakers in deciding on the optimal scheduling in order to achieve the strategic plan of measles elimination by vaccination.
尽管通过疫苗接种，麻疹的发病率已显著降低，但它仍然是一个重要的公共卫生问题。本文建立了一个带有脉冲接种的麻疹模型，以研究脉冲接种对疾病灭绝时间的影响。推导了所建立模型的阈值，即控制再生数，并用 表示。结果发现，该模型的无病周期解存在，并且当 时在麻疹被消除的意义上是全局吸引的。如果 ，模型的正解存在且是持久的，这表明疾病在社区中持续存在。给出了各种约束条件下疾病根除的理论条件。利用泰国的数据探讨了脉冲接种的效果。所得结果可为政策制定者决定最优接种计划提供指导，以便通过接种实现消除麻疹的战略计划。
