节点文献
传染系数为β(N)的SIR传染病模型
A SIR Epidemic Model with an Infectious Rate β(N)
【摘要】 建立了疾病发生率为β(N)S I的S IR传染病模型,结合具有常数移民和指数出生的一般情形对所建传染病模型进行分析研究,分别就外界迁入人口中有、无染病者的情形给出了该模型的平衡点.
【Abstract】 After establishing a model for the incidence of SIR epidemic disease β(N)SI,the authors have made a research on the normal situation of the population with a constant emigration and exponent birth rate,presenting the equilibrium point for the model established while taking into account of the infected or disease-free situation of emigration population.
【关键词】 流行病模型;
平衡点;
稳定性;
基本再生数;
【Key words】 epidemic model; equilibrium; stability; basic reproductive rate;
【Key words】 epidemic model; equilibrium; stability; basic reproductive rate;
【基金】 国家自然科学基金资助项目(10471040)
- 【文献出处】 中北大学学报(自然科学版) ,Journal of North University of China(Natural Science Edition) , 编辑部邮箱 ,2006年02期
- 【分类号】R51
- 【被引频次】10
- 【下载频次】545