使用多阶段媒介模型分析疟疾控制措施的有效性
Analysis of Malaria Control Measures Effectiveness Using Multi-Stage Vector Model
AI总结：
本文构建多室常微分方程模型评估疟疾控制措施，考虑蚊子多阶段行为，通过分析基本再生数证明平衡点稳定性，并对控制参数进行敏感性分析以指导成本效益策略。
摘要：
我们分析了一个流行病学模型，以评估疟疾流行区多种控制手段的有效性。该数学模型由几个常微分方程组成的系统构成，并基于系统的多室表示。该模型考虑了成年雌性蚊子在作为疾病媒介期间所经历的多个栖息-寻宿阶段。我们计算了基本再生数$\mathcal R_0$，并证明如果$\mathcal R_0<1$，无病平衡点（DFE）在非负象限上是全局渐近稳定（GAS）的。如果$\mathcal R_0>1$，该系统存在唯一的地方病平衡点（EE）且是GAS的。我们对$\mathcal R_0$和EE对与控制措施相关参数（如杀灭有效性和叮咬预防）的依赖性进行了敏感性分析。最后，我们讨论了其对全面且具成本效益的疟疾控制策略的意义。
英文摘要：
We analyze an epidemiological model to evaluate the effectiveness of multiple means of control in malaria-endemic areas. The mathematical model consists of a system of several ordinary differential equations, and is based on a multicompartment representation of the system. The model takes into account the mutliple resting-questing stages undergone by adult female mosquitos during the period in which they function as disease vectors. We compute the basic reproduction number $\mathcal R_0$, and show that that if $\mathcal R_0<1$, the disease free equilibrium (DFE) is globally asymptotically stable (GAS) on the non-negative orthant. If $\mathcal R_0>1$, the system admits a unique endemic equilibrium (EE) that is GAS. We perform a sensitivity analysis of the dependence of $\mathcal R_0$ and the EE on parameters related to control measures, such as killing effectiveness and bite prevention. Finally, we discuss the implications for a comprehensive, cost-effective strategy for malaria control.
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