摘要
为了考虑媒体宣传对传染病控制的影响,建立了一类具有双线性接触率且带有媒体引发的意识累积密度的SISM传染病模型,利用Liapunov函数和几何判别法给出了无病平衡点及地方病平衡点的全局渐近稳定性条件.并将模型研究结果应用于甲流H1N1疾病中,分析了媒体宣传对疫情控制的作用,结合实际发病数据检验了结果的合理性.
We establish a class of SISM epidemic model with the nonlinear incidence,consciousness accumulation density. In the model,we consider the impact of media coverage on the control of infectious disease. The global stability of the disease-free equilibrium and the endemic equilibrium are proved by applying the Liapunov function and geometric criterion. The results of model research are applied to the epidemic H1N1,and we analyse the effect of media coverage on the disease control. In the end,the rationality of the results are tested by combining with the actual incidence data.
出处
《哈尔滨理工大学学报》
CAS
北大核心
2015年第6期112-118,共7页
Journal of Harbin University of Science and Technology
基金
黑龙江省教育厅科学技术研究项目(12521099)
