具有公共卫生教育影响和Lévy跳的随机SEIS传染病模型的动力学行为分析
Dynamic Behavior Analysis of a Class of Stochastic Infectious Disease Model with Public Health Education Implications and Lévy Jumps
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摘要: 基于公共卫生教育对疾病传播的影响, 研究了一类带有Lévy跳的随机SEIS传染病模型。首先, 讨论了系统全局正解的存在性和唯一性; 进而, 利用Itô公式得到了疾病消失和疾病平均持久的充分性条件; 最后, 分析了随机扰动和公共卫生教育对疾病传播的影响。Abstract: Considering the effect of public health education on disease transmission, a class of stochastic SEIS infectious disease model with Lévy jump is proposed. Firstly, the existence and uniqueness of global positive solutions are discussed, and the sufficient conditions for the disappearance and average persistence of the disease are obtained by using Itô formula. Finally, the effects of random disturbance and public health education on the spread of disease are analyzed.