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Determining Effective Spraying Periods to Control Malaria via Indoor Residual Spraying in Sub-Saharan Africa

机译:确定撒哈拉以南非洲通过室内残留喷洒控制疟疾的有效喷洒时间

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Indoor residual spraying—spraying insecticide inside houses to kill mosquitoes—is an important methodfor controlling malaria vectors in sub-Saharan Africa. We propose a mathematical model for both regularand non-fixed spraying, using impulsive differential equations. First, we determine the stability propertiesof the nonimpulsive system. Next, we derive minimal effective spraying intervals and the degree ofspraying effectiveness required to control mosquitoes when spraying occurs at regular intervals. Ifspraying is not fixed, then we determine the “next best” spraying times. We also consider the effects ofclimate change on the prevalence of mosquitoes. We show that both regular and nonfixed spraying willresult in a significant reduction in the overall number of mosquitoes, as well as the number of malariacases in humans. We thus recommend that the use of indoor spraying be re-examined for widespreadapplication in malaria-endemic areas.
机译:在撒哈拉以南非洲,室内残留喷雾剂-在房屋内喷洒杀虫剂杀死蚊子-是控制撒哈拉以南非洲疟疾媒介的重要方法。我们使用脉冲微分方程为常规喷涂和非固定喷涂提出了数学模型。首先,我们确定非脉冲系统的稳定性。接下来,我们得出最小有效喷洒间隔,以及以规则间隔喷洒时控制蚊子所需的喷洒程度。如果喷涂不固定,则我们确定“次佳”喷涂时间。我们还考虑了气候变化对蚊子流行的影响。我们显示,常规和非固定喷雾都会导致蚊子总数以及人类疟疾病例数的显着减少。因此,我们建议重新检查室内喷洒在疟疾流行地区的广泛应用。

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