右端不连续免疫对一类埃博拉病毒模型的影响  

Effect of Right Discontinuous Immunization on a Class of Ebola Virus Models

作　　者：李迅 陶龙 LI Xun;TAO Long(Nanjing Health Branch of Jiangsu United Vocational and Technical College,Nanjing,Jiangsu 210038;School of Public Fundamentals of Wannan Medical College,Wuhu,Anhui 241000)

机构地区：[1]江苏联合职业技术学院南京卫生分院,江苏南京210038 [2]皖南医学院公共基础学院,安徽芜湖241000

出　　处：《绵阳师范学院学报》2024年第8期31-38,51,共9页Journal of Mianyang Teachers＇ College

基　　金：皖南医学院科学研究项目(WK202117)。

摘　　要：研究了一类右端不连续的埃博拉病毒微分系统,利用微分包含理论证明了模型地方病平衡点和无病平衡点的存在唯一性.得到了模型的种群再生数R0,并分析了各平衡点在有限时间内的全局渐近稳定性.文末借助MATLAB数值仿真验证了理论的准确性.A class of Ebola virus differential systems with discontinuous right ends was studied.The existence and uniqueness of endemic and disease-free equilibrium points in the differential system were proved by using dif-ferential inclusion theory.The population regeneration number of the model was obtained,and the global asymptotic stability of each equilibrium point in finite time was analyzed.The accuracy of the theory was verified by MATLAB numerical simulation at the end of the paper.

关 键 词：埃博拉病毒 右端不连续 LYAPUNOV函数 全局稳定 

分 类 号：O193[理学—数学]