Rational behavioral response and the transmission of STDs
Rational behavioral response and the transmission of STDs
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DOI：
10.1016/j.tpb.2004.07.004
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发表时间：
2004-12-01
影响因子：
1.4
通讯作者：
Chen, FH
中科院分区：
文献类型：
--
作者：
Chen, FH
易感感染（SI）模型通过允许个体对自我保护行动的最佳选择来扩展，其中代理人在自我保护的偏好和成本方面有所不同。证明了当性病的基本繁殖数严格大于1时，存在唯一的地方性平衡流行；当基本繁殖数小于等于1时，无病平衡是唯一的稳态平衡。与将个体行为视为给定和固定的模型不同，地方性平衡流行率不必随基本繁殖数单调变化。具体来说，对于内源性决定的自我保护行为，基本繁殖数量的减少实际上可能会增加地方性平衡流行率。通过证明对于任何非零的初始疾病患病率，存在收敛于地方性稳定状态的平衡路径，建立了均匀种群的地方性稳定状态的全局稳定性。(C) 2004爱思唯尔公司版权所有。
The susceptible-infected (SI) model is extended by allowing for individual optimal choices of self-protective actions against infection, where agents differ with respect to preferences and costs of self-protection. It is shown that a unique endemic equilibrium prevalence exists when the basic reproductive number of a STD is strictly greater than unity, and that the disease-free equilibrium is the unique steady state equilibrium when the basic reproductive number is less than or equal to one. Unlike in models that take individual behavior as given and fixed, the endemic equilibrium prevalence need not vary monotonically with respect to the basic reproductive number. Specifically, with endogenously determined self-protective behavior, a reduction in the basic reproductive number may in fact increase the endemic equilibrium prevalence. The global stability of the endemic steady state is established for the case of a homogeneous population by showing that, for any non-zero initial disease prevalence, there exists an equilibrium path which converges to the endemic steady state. (C) 2004 Elsevier Inc. All rights reserved.