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引用次数: 0
摘要
蚊子传播的疾病正威胁着全球一半的人口。为防止疟疾、登革热或其他蚊媒疾病的传播,一种新的疾病控制策略是通过释放不育蚊子来减少或消灭野生蚊子数量。为了研究昆虫不育技术对蚊子种群的影响,我们建立了一个具有强阿利效应和弱阿利效应的埃及伊蚊不育恒定释放数学模型,并考虑了与按蚊的种间竞争。我们计算了多个释放阈值,并研究了该模型的动态行为。为了更接近现实,我们还引入了一个脉冲微分方程模型,研究了在每个间隔时间 $ T $ 释放 $ c $ 不育雄蚊策略下的蚊子抑制动力学。最后,通过数值模拟说明了释放量或等待期与抑蚊所需天数之间的关系。
Modelling mosquito population suppression based on competition system with strong and weak Allee effect.
Mosquito-borne diseases are threatening half of the world's population. To prevent the spread of malaria, dengue fever, or other mosquito-borne diseases, a new disease control strategy is to reduce or eradicate the wild mosquito population by releasing sterile mosquitoes. To study the effects of sterile insect technique on mosquito populations, we developed a mathematical model of constant release of sterile Aedes aegypti mosquitoes with strong and weak Allee effect and considered interspecific competition with Anopheles mosquitoes. We calculated multiple release thresholds and investigated the dynamical behavior of this model. In order to get closer to reality, an impulsive differential equation model was also introduced to study mosquito suppression dynamics under the strategy of releasing $ c $ sterile male mosquitoes at each interval time $ T $. Finally, the relationship between the releasing amount or the waiting period and the number of days required to suppress mosquitoes was illustrated by numerical simulations.
期刊介绍:
Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing.
MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).