TITLE:
Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies
AUTHORS:
Minmin Zhou, Tiansi Zhang
KEYWORDS:
SEIR Epidemic Model, Intervention Strategies, Basic Reproduction Number, Global Stability
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.8,
August
16,
2019
ABSTRACT: 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.