具有潜伏期时滞的时变seir模型的最优疫苗接种策略
Year: 2019
Type: article
Abstract: On the basis of the classic SEIR compartmental model, a time-delayed term was introduced to characterize the latent delay. Furthermore, a controlled time-varying SEIR model with delay was established in view of the vaccination, the successfully immune rate and the seasonally varying incidence coefficient. Meanwhile, the optimal vaccination strategy was determined under the frame of the optimal control problem with the vaccination rate taken as the control variable. In the formulated optimal control problem, 3 kinds of constraints (i.e., the constraints on control, the upper limit on the susceptible population and the time-varying upper limit on the vaccination supply) were considered. The optimal control problem was numerically solved with a multi-interval symplectic pseudospectral method. Numerical results demonstrate that the obtained vaccination strategy can effectively suppress the spread of the disease, and the comparison between different cases suggests that omitting time-varying factors may result in unreasonable vaccination strategies.
Source: 应用数学和力学
Authors: 王昕炜，彭海军，钟万勰, WANG Xinwei, PENG Haijun, ZHONG Wanxie
Language: Korean
Field: Medicine
Domain: Health Sciences
Open Access status: diamond
OpenAlex ID: W4245562201