一类埃博拉病毒传播模型的动力学行为  

Dynamic analysis of a class of Ebola virus transmission models

作　　者：贾豫陇 韩晓玲 JIA Yu-long;HAN Xiao-ling(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报(自然科学版)》2025年第2期109-116,共8页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12161079)。

摘　　要：埃博拉病毒是一种具有跨物种传播能力的病毒,由于病毒的致死率较高,因此研究其传播过程具有重要意义.考虑埃博拉病毒的3种不同传播方式,建立了SEIRDP模型;借助下代矩阵求出模型的基本再生数,得到了模型的平衡点及其局部稳定性,并通过构造Lyapunov函数得到了模型平衡点的全局渐近稳定性;最后,通过数值模拟验证了理论分析的正确性.The Ebola virus is a virus with the ability to cross species.Due to its high fatality rate,it is of great significance to study its transmission process.By considering three different transmission modes of the Ebola virus,a SEIRDP model is established.The basic reproduction number of the model is obtained by using the next-generation matrix,and the equilibrium points and their local stability are obtained.Then,the global asymptotic stability of the equilibrium points of the model is obtained by using the Lyapunov function method.Finally,numerical simulations of the model are carried out to verify the correctness of the theoretical conclusions.

关 键 词：埃博拉病毒 基本再生数 平衡点 稳定性 

分 类 号：O175.8[理学—数学]