Effects of quarantine in six endemic models for infectious diseases
Effects of quarantine in six endemic models for infectious diseases
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DOI：
10.1016/s0025-5564(02)00111-6
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发表时间：
2002-11-01
影响因子：
4.3
通讯作者：
Liao, SB
中科院分区：
文献类型：
--
作者：
Hethcote, H;Ma, Z;Liao, SB
研究了SIQS和SIQR流行病学模型的阈值、平衡点及其稳定性。对于大多数模型，地方病平衡是渐近稳定的，但对于具有检疫调整发病率的SIQR模型，地方病平衡是一个不稳定的螺旋，对于某些参数值和Hopf分岔产生的周期解。用数值方法求出了Hopf分岔曲面和稳定周期解。(C) 2002爱思唯尔科学有限公司版权所有。
Thresholds, equilibria, and their stability are found for SIQS and SIQR epidemiology models with three forms of the incidence. For most of these models, the endemic equilibrium is asymptotically stable, but for the SIQR model with the quarantine-adjusted incidence, the endemic equilibrium is an unstable spiral for some parameter values and periodic solutions arise by Hopf bifurcation. The Hopf bifurcation surface and stable periodic solutions are found numerically. (C) 2002 Elsevier Science Inc. All rights reserved.