CONTROLLING MALARIA WITH INDOOR RESIDUAL SPRAYING IN SPATIALLY HETEROGENEOUS ENVIRONMENT

CONTROLLING MALARIA WITH INDOOR RESIDUAL SPRAYING IN SPATIALLY HETEROGENEOUS ENVIRONMENT
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DOI:
10.3934/mbe.2011.8.889
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发表时间:
2011-10-01
影响因子:
2.6
通讯作者:
Smith, Robert
Smith, Robert
中科院分区:
工程技术4区
文献类型:
--
作者:
Al-Arydah, Mo'tassem;Smith, Robert

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室内滞留喷洒-在房屋内喷洒杀虫剂杀死蚊子-是有史以来最有效的疾病控制方法之一,在世纪第三个25年使疟疾几乎在全世界绝迹,挽救了数千万人的生命。然而,由于疟疾目前正在复苏,它受到的关注相对较少,仅在选定的物理位置应用,并不总是定期。我们扩展了疟疾喷洒的时间依赖模型,以包括空间异质性,并解决以下研究问题:1。在不同的地理区域喷洒有什么影响?2.结果如何取决于喷洒的规律性?3.我们能否改变我们的控制策略来解释风等不对称现象?我们使用脉冲偏微分方程模型来获得疟疾控制的阈值时,喷洒均匀发生,在一个内部光盘或不对称的平流效应。空间异质性导致必要的喷洒频率增加,但控制仍然是可以实现的。
Indoor residual spraying - spraying insecticide inside houses to kill mosquitoes - has been one of the most effective methods of disease control ever devised, being responsible for the near-eradication of malaria from the world in the third quarter of the twentieth century and saving tens of millions of lives. However, with malaria resurgence currently underway, it has received relatively little attention, been applied only in select physical locations and not always at regular intervals. We extend a time-dependent model of malaria spraying to include spatial heterogeneity and address the following research questions: 1. What are the effects of spraying in different geographical areas? 2. How do the results depend upon the regularity of spraying? 3. Can we alter our control strategies to account for asymmetric phenomena such as wind? We use impulsive partial differential equation models to derive thresholds for malaria control when spraying occurs uniformly, within an interior disc or under asymmetric advection effects. Spatial heterogeneity results in an increase in the necessary frequency of spraying, but control is still achievable.