埃及伊蚊和白纹伊蚊竞争模型的全局动力学  

Global dynamics of a competition model between Aedes aegypti and Aedes albopictus

作　　者：陈小鹏 郭志明[1] CHEN Xiao-peng;GUO Zhi-ming(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报(自然科学版)》2025年第1期21-32,共12页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目(12171110)。

摘　　要：登革热是由伊蚊传播登革病毒所引起的急性传染病,主要传播媒介是白纹伊蚊和埃及伊蚊。目前,控制登革热传播的一种可行的方法是释放携带Wolbachia氏菌的蚊子与野生蚊子产生CI效应,进而起到阻断疾病传播的目的。不同蚊虫之间的竞争机制会影响到释放携带Wolbachia蚊子的效果。为了探究埃及伊蚊和白纹伊蚊的种间竞争及交配对蚊子种群动态及其生态的影响,文章基于对白纹伊蚊与埃及伊蚊偏态的种间交配实验和最新研究结果,建立了一个两种群竞争模型来模拟埃及伊纹和白纹伊蚊的种群动力学行为,在不同条件下,证明了平凡平衡点、边界平衡点和正平衡点的全局渐近稳定性。文章的理论研究结果与文献中实验结果一致,即白纹伊蚊的高种间交配率和再交配率导致其在和埃及伊蚊的竞争繁衍中取得优势。了解这一机制将为预防控制媒介蚊虫以及后续制定感染Wolbachia蚊子的释放策略来控制登革热的传播提供科学指引。Dengue fever is an acute infectious disease caused by the transmission of dengue virus by the main vectors Aedes albopictus and Aedes aegypti.At present,a feasible method to control the transmission of dengue fever is to release mosquitoes carrying Wolbachia to produce a CI effect with wild mosquitoes,so as to block the transmission of the disease.The competition mechanism between different mosquitoes will affect the effectiveness of releasing Wolbachia carrying mosquitoes.Therefore,in order to explore the effects of interspecific competition and mating between Aedes aegypti and Aedes albopictus on mosquito population dynamics,this paper established a population competition model to simulate the population dynamics of Aedes aegypti and Aedes albopictus under different conditions,based on the experiment and latest research results of the preferential interspecific mating between Aedes albopictus and Aedes aegypti.The global asymptotic stabilities of the trivial equilibrium point,boundary equilibrium point and positive equilibrium point are proved.The theoretical results of this study are consistent with the experimental results in the literature,that is,the high interspecific mating and remating rate of Aedes albopictus leads to its advantage in the competition and reproduction with Aedes aegypti.Understanding this mechanism will help prevent and control the vector mosquitoes.This paper helps to provide scientific guidance on the subsequent development of release strategies for Wolbachia infected mosquitoes to control the spread of dengue fever.

关 键 词：伊蚊种群 竞争模型 偏态种间竞争 二次交配 全局渐近稳定 

分 类 号：O175[理学—数学] R184.3[理学—基础数学]