Asymptotic Behavior and Stability in Epidemic Models
Asymptotic Behavior and Stability in Epidemic Models
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流行病模型中的渐近行为和稳定性
DOI：
10.1007/978-3-642-45455-4_10
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发表时间：
1974
期刊：
影响因子：
--
通讯作者：
H. Hethcote
中科院分区：
文献类型：
--
作者：
H. Hethcote
考虑SIS和SIR类型的确定性流行病模型，其中出生和死亡发生率相等，所有新生儿都易感。在anSIS模型中，随着时间趋于无穷，出生和死亡的影响是提高决定感染人数的阈值。当接触率是周期性的和载波存在时，SIS模型中的渐近行为也被表明。在宿主和媒介SIS模型和SIR流行病模型中，确定了平衡点的渐近稳定区域。
Deterministic epidemic models of SIS and SIR type are considered where births and deaths occur at equal rates with all newborns being susceptible. In anSIS model the effect of births and deaths is to raise the threshold which determines the number of infectives as time approaches infinity. The asymptotic behavior in an SIS model is also indicated when the contact rate is periodic and when carriers are present. Asymptotic stability regions are determined for the equilibrium points in a host and vector SIS model and in an SIR epidemic model.