具有季节影响的登革热病毒传播动力学分析  

Dynamic Analysis of Dengue Virus Transmission with Seasonal Effects

作　　者：杜璇 张睿[1] DU Xuan;ZHANG Rui(College of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2024年第3期9-14,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：登革热是非常典型的虫媒传染病.考虑到季节的变化会影响蚊子的生存,因此提出了一类具有季节性影响的登革热病毒传播模型.首先利用下一代矩阵方法得到了基本再生数R_(0),其次进行适定性分析,判断该模型无病周期解的全局渐近稳定性以及持久性.Dengue fever is a very typical insect borne infectious disease.Considering that seasonal changes can affect the survival of mosquitoes,a dengue fever virus transmission model with seasonal effects is proposed.Firstly,the basic regeneration number R_(0) is obtained using the next-generation matrix method.Secondly,a well-posedness analysis is conducted to determine the global asymptotic stability and persistence of the disease-free periodic solution of the model.

关 键 词：登革热模型 无病周期解 稳定性 持久性 

分 类 号：O175[理学—数学]