摘要
研究一类具有预防接种、隔离且传染率依赖于易感人口的SIQRS传染病模型,给出确定疾病消亡和持续生存的基本再生数σ.在一定条件下证明无病平衡点的全局稳定性,得到唯一地方病平衡点的存在性和局部渐近稳定条件.
An epidemic SIQRS model with vaccination, quarantine and nonlinear infectious rate is analyzed in this paper. Derived is a threshold σ which determines the existence of the infectious disease. In some conditions, we demonstrate that the disease free equilibrium is globally stable. The existence of a unique endemic equilibrium and the condition of local asymptotic stability are obtained.
出处
《北京工商大学学报（自然科学版）》
CAS
2009年第3期74-77,共4页
Journal of Beijing Technology and Business University:Natural Science Edition
基金
国家自然科学基金资助项目(10671011)
关键词
数学模型
传染病
基本再生数
平衡点
稳定性
mathematical model
infectious disease
basic reproductive number
equilibrium
stability
