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首页> 外文会议>International Conference on Mathematics, Statistics, and Their Applications >Discretization and control of an SEIR epidemic model under equilibrium Wiener noise disturbances
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Discretization and control of an SEIR epidemic model under equilibrium Wiener noise disturbances

机译：平衡维纳噪声干扰下SEIR流行模式的离散化和控制

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摘要

A discretized SEIR epidemic model, subject to Wiener noise disturbances of the equilibrium points, is studied. The discrete-time model is got from a general discretization technique applied to its continuous-time counterpart so that its behaviour be close to its continuous-time counterpart irrespective of the size of the discretization period. The positivity and stability of a normalized version of such a discrete-time model are emphasized. The paper also proposes the design of a periodic impulsive vaccination which is periodically injected to the susceptible subpopulation in order to eradicate the propagation of the disease or, at least, to reduce its unsuitable infective effects within the potentially susceptible subpopulation. The existence and asymptotic stability of a disease-free periodic solution are proved. In particular, both the exposed and infectious subpopulations converge asymptotically to zero as time tends to infinity while the normalized subpopulations of susceptible and recovered by immunization oscillate.
机译：研究了符合均衡点的维纳噪声干扰的离散的SEIR流行病模型。从应用于其连续时间对应的一般离散化技术获得离散时间模型，以便与离散时间的大小无关其行为接近其连续时间对应。强调了这种离散时间模型的标准化版本的正常性和稳定性。本文还提出了一种定期脉冲疫苗接种的设计，该脉冲疫苗接种为易感群体，以消除疾病的繁殖，或者至少以减少其在潜在易感群中的不合适的感染效果。证明了无疾病定期溶液的存在和渐近稳定性。特别地，暴露的和传染性亚步骤都会随着时间倾向于无穷大而聚合为零，而通过免疫振荡的敏感和回收的标准化亚群。

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