带有Lévy噪声和媒体报道的随机SIRI模型的定性分析  

Qualitative Analysis of Stochastic SIRI Model with Lévy Noise and Media Reports

作　　者：邢佳丽 赵爱民[1] 刘桂荣[1] XING Jia-li;ZHAO Ai-min;LIU Gui-rong(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,太原030006

出　　处：《西南师范大学学报（自然科学版）》2020年第5期39-44,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11971279,11471197).

摘　　要：考虑了一类带有Lévy噪声和媒体报道的随机SIRI模型.利用Lyapunov函数方法与Ito公式给出了该模型全局正解的存在唯一性,并研究了该模型的解围绕相应确定性模型的无病平衡点和地方病平衡点的渐近性质.最后通过数值模拟验证了理论结果.Consider a stochastic SIRI model with Lévy noise and media coverage. In the Lyapunov function method and the Ito formula, existence and uniqueness of the global positive solution of model have been given. Then the asymptotic of the solution of this model have been studied around disease-free equilibrium and endemic equilibrium of the corresponding deterministic model. Finally, the theoretical results of this paper have been verified by numerical simulation.

关 键 词：Lévy噪声 随机SIRI模型 媒体报道 LYAPUNOV函数 ITO公式 

分 类 号：O211.63[理学—概率论与数理统计]