一类阶段结构蚊子种群的分析

摘要

为了研究有限的资源以及蚊子幼虫成熟时间对蚊子种群的影响,我们建立了一个带有饱和增长率的蚊子种群模型并对该模型进行了基本的数学分析,包括平衡点的存在性及其稳定性.另外,我们还进行了一些关键参数的敏感性分析.研究结果表明减少资源和幼蚊的成熟时间,是控制蚊子数量的有效方法.%In order to study the impact of limited resource and maturation time on mosquito population dynamics,we formulate a simple stage-structured mosquito population model with saturated recruitment rate,where mosquito population is divided into two class.The basic investigation of the model,such as the existence of equilibria and their stability,has been finished.The global stability of the unique endemic equilibrium has been proved.A numerical simulation has been presented too.Our findings finally show that reducing the resource and maturation time,are effective methods to control the number of mosquitoes.