摘要
通过假设被感染者恢复后不具有免疫力,但易感性不同于未被感染过的易感者,建立了一类带有双线性传染率的传染病模型,发现该模型对一定参数会发生后向分支,找到了相应的阈值,完整分析了该模型的动力学性态.
By assuming that the infectives have no immunity after recovery from the disease and that their susceptibility is different from other susceptible individuals, an epidemic model with bilinear incidence rate was established. It was found that backward bifurcation occurs for some parameters. The associated thresholds were determined, and the dynamical behivor was investigated completely.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第17期83-88,共6页
Mathematics in Practice and Theory
基金
山西省自然科学基金项目(2005Z010)
山西省重点扶持学科项目
运城学院项目(2005207)
空军工程大学理学院科研基金项目
关键词
传染病模型
后向分支
稳定性
epidemic model
backward bifurcation
stability
