一类具有不同时滞的布鲁氏菌病模型的稳定性分析  

Stability Analysis of a Brucellosis Model with Different Time Delays

作　　者：吴嫚 夏米西努尔·阿布都热合曼[1] WU Man;ABDURAHMAN Xamxinur(College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,Xinjiang)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《四川师范大学学报（自然科学版）》2023年第5期616-622,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11861063)。

摘　　要：建立一类同时具有离散时滞和分布时滞的布鲁氏菌病模型,研究该模型无病平衡点和地方病平衡点的存在性和局部渐近稳定性,并通过构造合适的Lyapunov泛函得出各类平衡点的全局渐近稳定性.最后,通过数值模拟对结果进行解释,并探究时滞效应对疾病传播过程的影响.In this paper,a Brucellosis model with both discrete and distributed time delays is established.The existence and local asymptotic stability of the disease-free equilibrium and endemic equilibrium are studied.The global asymptotic stability of all kinds of equilibrium is obtained by constructing suitable Lyapunov functional.Finally,numerical simulation was used to explain the results,and the influence of the delay effect on the process of disease transmission was explored.

关 键 词：布鲁氏菌病 时滞 稳定性 LYAPUNOV泛函 

分 类 号：O175[理学—数学]