Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus
Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus
复制标题
DOI：
10.1007/s00285-011-0477-6
复制
发表时间：
2011-10
影响因子：
1.9
通讯作者：
Yves Dumont;J. Tchuenche
中科院分区：
文献类型：
--
作者：
Yves Dumont;J. Tchuenche
基孔肯雅热是一种由亚洲虎蚊白纹伊蚊引起的节肢动物传播疾病。它可能是公共卫生的一个重要负担，也是导致发病，有时甚至死亡的一个重要原因。了解是否以及何时应采取疾病控制措施是遏制其传播的关键。Dumont和Chiroleu（数学与生物工程7(2):315-348,2010）表明，使用化学控制工具，如杀虫剂和杀幼虫剂，以及包括减少孳生地点的机械控制，将有助于控制2006年在r<s:1> union岛爆发的流行病。尽管如此，化学防治工具不能长期使用，因为它们会引起蚊子的抗性，并且不利于生物多样性。因此，有必要开发和试验更具可持续性和具有相同功效的新控制工具（如果可能的话）。制定并分析了昆虫不育技术预防、减少、消除或阻止基孔肯雅热流行的数学模型。特别地，我们提出了一个考虑脉冲周期释放的新模型，这导致了一个混合动力系统。该脉冲SIT模型与不同流行病学状态的人群相结合，以评估其功效。采用适当的数值格式对脉冲SIT进行了数值模拟。分析和数值结果表明，小而频繁释放的脉冲SIT可作为化学控制工具的替代方法，但必须在流行病开始后早期使用或应用，或作为一种预防工具。
Chikungunya is an arthropod-borne disease caused by the Asian tiger mosquito,Aedes albopictus. It can be an important burden to public health and a great cause of morbidity and, sometimes, mortality. Understanding if and when disease control measures should be taken is key to curtail its spread. Dumont and Chiroleu (Math Biosc Eng 7(2):315–348, 2010) showed that the use of chemical control tools such as adulticide and larvicide, and mechanical control, which consists of reducing the breeding sites, would have been useful to control the explosive 2006 epidemic in Réunion Island. Despite this, chemical control tools cannot be of long-time use, because they can induce mosquito resistance, and are detrimental to the biodiversity. It is therefore necessary to develop and test new control tools that are more sustainable, with the same efficacy (if possible). Mathematical models of sterile insect technique (SIT) to prevent, reduce, eliminate or stop an epidemic of Chikungunya are formulated and analysed. In particular, we propose a new model that considers pulsed periodic releases, which leads to a hybrid dynamical system. This pulsed SIT model is coupled with the human population at different epidemiological states in order to assess its efficacy. Numerical simulations for the pulsed SIT, using an appropriate numerical scheme are provided. Analytical and numerical results indicate that pulsed SIT with small and frequent releases can be an alternative to chemical control tools, but only if it is used or applied early after the beginning of the epidemic or as a preventive tool.