Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

• 作者: Minmin Zhou Tiansi Zhang
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: SEIR EPIDEMIC Model INTERVENTION Strategies Basic REPRODUCTION NUMBER Global Stability
• 年，卷（期）: 2019,（8）
• 页码范围: 1706-1717
• 页数: 12页
• 分类号: O1

摘要

In this paper, we investigate the global stability of an SEIR (Susceptible-Exposed-Infected-Remove) epidemic model with infectious force under intervention strategies. To address this issue, we prove that the basic reproduction number R0 plays an essential role in determining whether the disease extincts or persists. If , there is a unique disease-free equilibrium point of the model which is globally asymptotically stable and the disease dies out, and if , there exists a unique endemic equilibrium point which is globally asymptotically stable and the disease persists.