Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible
Dynamics of an SEIR model with infectivity in incubation period and homestead-isolation on the susceptible
复制标题
潜伏期传染性和易感者宅基地隔离SEIR模型的动力学
DOI：
10.1016/j.aml.2020.106442
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发表时间：
2020-09-01
影响因子：
3.7
通讯作者：
Cai, Shaohong
中科院分区：
文献类型：
--
作者：
Jiao, Jianjun;Liu, Zuozhi;Cai, Shaohong
本文建立了一个具有潜伏期传染性和易感者居家隔离的SEIR流行病模型。我们证明了无传染平衡点在条件R-01下是局部和全局渐近稳定< 1. We also prove that the positive equilibrium point is locally and globally asymptotically stable with condition R-0 >的.数值模拟来说明我们的结果。在缺乏疫苗或抗病毒药物的情况下，我们的研究结果表明，政府应严格执行隔离制度，尽一切努力遏制疫情期间的疾病传播。(C)2020爱思唯尔有限公司保留所有权利。
In this paper, we present an SEIR epidemic model with infectivity in incubation period and homestead-isolation on the susceptible. We prove that the infectionfree equilibrium point is locally and globally asymptotically stable with condition R-0 < 1. We also prove that the positive equilibrium point is locally and globally asymptotically stable with condition R-0 > 1. Numerical simulations are employed to illustrate our results. In the absence of vaccines or antiviral drugs for the virus, our results suggest that the governments should strictly implement the isolation system to make every effort to curb propagation of disease during the epidemic. (C) 2020 Elsevier Ltd. All rights reserved.