Optimal control approach for establishing wMelPop Wolbachia infection among wild Aedes aegypti populations

Optimal control approach for establishing wMelPop Wolbachia infection among wild Aedes aegypti populations
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DOI:
10.1007/s00285-018-1213-2
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发表时间:
2018-06-01
影响因子:
1.9
通讯作者:
Svinin, Mikhail
Svinin, Mikhail
中科院分区:
数学4区
文献类型:
--
作者:
Campo-Duarte, Doris E.;Vasilieva, Olga;Svinin, Mikhail

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以沃尔巴克氏体为基础的生物防治最近成为预防和控制登革热和其他媒介传播疾病的潜在方法。主要媒介物种,如埃及伊蚊雌性,在故意感染沃尔巴克氏体后,其获得病毒感染和将病毒传播给人类宿主的能力会降低。在本文中,我们提出了一个明确的性别结构种群模型,该模型描述了未感染(野生)雄性和雌性蚊子与故意感染wMelPop沃尔巴克氏体菌株的蚊子在同一地点的相互作用。这种特殊的沃尔巴克氏体菌株被认为是登革热和其他虫媒病毒感染的最佳阻断剂。然而,wMelPop沃尔巴克氏体菌株也会导致埃及伊蚊个体适应性的丧失。我们的模型允许自然引入决策(或控制)变量,并应用最优控制方法来模拟野生埃及伊蚊种群的wMelPop沃尔巴克氏体感染。控制行动包括在实验室条件下连续定期释放先前感染wMelPop沃尔巴克氏体菌株的蚊子。控制的最终目的是在最短的时间内达到人口替代和最小的控制成本之间找到一个权衡。这种方法还使我们能够估计在每天的控制行动中释放携带沃尔巴克氏体的蚊子的数量。提出的生物防治方法对人体健康安全,不污染环境,不会对非目标物种造成伤害,并保持其与生态系统中蚊子的相互作用。
Wolbachia-based biocontrol has recently emerged as a potential method for prevention and control of dengue and other vector-borne diseases. Major vector species, such as Aedes aegypti females, when deliberately infected with Wolbachia become less capable of getting viral infections and transmitting the virus to human hosts. In this paper, we propose an explicit sex-structured population model that describes an interaction of uninfected (wild) male and female mosquitoes and those deliberately infected with wMelPop strain of Wolbachia in the same locality. This particular strain of Wolbachia is regarded as the best blocker of dengue and other arboviral infections. However, wMelPop strain of Wolbachia also causes the loss of individual fitness in Aedes aegypti mosquitoes. Our model allows for natural introduction of the decision (or control) variable, and we apply the optimal control approach to simulate wMelPop Wolbachia infestation of wild Aedes aegypti populations. The control action consists in continuous periodic releases of mosquitoes previously infected with wMelPop strain of Wolbachia in laboratory conditions. The ultimate purpose of control is to find a tradeoff between reaching the population replacement in minimum time and with minimum cost of the control effort. This approach also allows us to estimate the number of Wolbachia-carrying mosquitoes to be released in day-by-day control action. The proposed method of biological control is safe to human health, does not contaminate the environment, does not make harm to non-target species, and preserves their interaction with mosquitoes in the ecosystem.