准平稳流行病动力学模型

A. Borovsky, Andrei Galkin
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引用次数: 4

摘要

提出了一种新的流行病动力学理论模型,该模型以时间滞后项的形式考虑了疾病的潜伏潜伏期。该模型考虑了四种类型的群体成员:未感染(无免疫)的,积极感染的,恢复和获得免疫的,以及经历致命结果的。该模型考虑了顺利引入防疫措施的可能性,以及未感染队伍中存在的各种类型的感染。疫情发展的数值计算表明,在采取隔离措施后,最初活跃感染者的指数增长在2 - 3周内被流行病曲线的下降所取代。然后,三个月后,有了一个永久的感染源,流行病进入一种准静止的运作模式。活跃感染个体的准平稳值统计唯一地决定了感染源的大小。对时变感染源问题的计算描述了单独强度流行病的“第二波”。
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Model of Quasi-Stationary Epidemic Kinetics
A new theoretical model of epidemic kinetics, which takes into account the latent incubation period of the disease in the form of time lagged terms, is viewed. The model takes into account four types of population members: the uninfected (non-immune), the actively infected, the recovered and acquired immunity, and the experienced a lethal outcome. The model considers the possibility of introducing anti-epidemic measures smoothly, as well as the presence of various types of infection of the uninfected contingent. Numerical calculations of the epidemic development show that the initial exponential growth of actively infected people after the introduction of quarantine measures is replaced by a decline in the epidemic curve within two — three weeks. Then, after three months, having a permanent source of infection, the epidemic enters a quasi-stationary mode of functioning. The quasi-stationary values statistics of actively infected individuals uniquely determines the size of the infection source. Calculations of the problem with a time-varying infection source describe the «second­ wave» of a separate intensity epidemic.
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