School of Mathematical Sciences, Jiangsu University, Zhenjiang, Jiangsu, 212013, China.
Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science, BNU-HKBU United International College, Zhuhai 519087, China.
Acta Trop. 2024 May;253:107159. doi: 10.1016/j.actatropica.2024.107159. Epub 2024 Feb 25.
Widespread resurgence of dengue outbreaks has seriously threatened the global health. Due to lack of treatments and vaccines, one key strategy in dengue control is to reduce the vector population size. As an environment-friendly mosquito control approach, releasing male mosquitoes transinfected with specific Wolbachia strain into the field to suppress the wild mosquito population size has become wildly accepted. The current study evaluates the effectiveness of this suppression strategy on dengue control under changing temperature and precipitation profiles. We formulate a mathematical model which includes larval intra-specific competition, the maturation period for mosquitoes, the extrinsic incubation period (EIP) and intrinsic incubation period (IIP). The persistence of mosquitoes and disease is discussed in terms of two basic reproduction numbers (R and R) and the release ratio p. Further numerical simulations are carried out to not only validate theoretical results, but also provide interesting quantitative observations. Sensitivity analysis on the reproduction numbers, peak size, peak time and the final epidemic size is performed with respect to model parameters, which highlights effective control measures against dengue transmission. Moreover, by assuming temperature and precipitation dependent mosquito-related parameters, the model can be used to project the effectiveness of releasing Wolbachia-carrying males under climatic variations. It is shown that the effectiveness of various control strategies is highly dependent on the changing temperature and precipitation profiles. In particular, the model projects that it is most challenging to control the disease at the favorable temperature (around 27∼30C) and precipitation (5∼8mm/day) range, during which the basic reproduction number R is very high and more Wolbachia-infected males should be released.
登革热疫情的广泛复发严重威胁着全球健康。由于缺乏治疗方法和疫苗,控制登革热的一个关键策略是减少病媒种群数量。作为一种环保的蚊虫控制方法,向野外释放感染特定沃尔巴克氏体菌株的雄性蚊子以抑制野生蚊子种群数量已被广泛接受。本研究评估了在温度和降水变化的情况下,这种抑制策略对登革热控制的效果。我们构建了一个数学模型,该模型包括幼虫种内竞争、蚊子成熟周期、外潜伏期(EIP)和内潜伏期(IIP)。根据两个基本繁殖数(R 和 R)和释放比例 p 来讨论蚊子和疾病的持久性。进一步进行数值模拟不仅验证了理论结果,还提供了有趣的定量观察。针对繁殖数、峰值大小、峰值时间和最终流行规模,对模型参数进行了敏感性分析,突出了针对登革热传播的有效控制措施。此外,通过假设与蚊子相关的温度和降水依赖性参数,该模型可用于预测在气候变化下释放携带沃尔巴克氏体的雄性蚊子的效果。结果表明,各种控制策略的效果高度依赖于变化的温度和降水模式。特别是,该模型预测,在有利的温度(约 27∼30°C)和降水(5∼8mm/天)范围内,控制疾病的难度最大,此时基本繁殖数 R 非常高,需要释放更多感染沃尔巴克氏体的雄性蚊子。