Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size

• 作者: Aibing Li Liang Zhang Shitao Liu Xiao-Bing Zhang
• 来源期刊: 生物数学学报:英文版
• 学科: 社会科学
• 关键词: STOCHASTIC HEROIN EPIDEMIC model LYAPUNOV function EXTINCTION stationary distribution sensitivity analysis
• 年，卷（期）: 2019,（1）
• 页码范围: 93-113
• 页数: 21页
• 分类号: G

摘要

We investigate a stochastic heroin epidemic model with bilinear incidence and varying population size.Sufficient criteria for the extinction of the drug abusers and the existence of ergodic stationary distribution for the model are established by constructing suitable stochastic Lyapunov functions.By analyzing the sensitivity of the threshold of spread,we obtain that prevention is better than cure.Numerical simulations are carried out to confirm the analytical results.