Author(s)

Minmin Zhou^*, Tiansi Zhang

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

SEIR Epidemic Model, Intervention Strategies, Basic Reproduction Number, Global Stability

Zhou, M. and Zhang, T. (2019) Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies. Journal of Applied Mathematics and Physics, 7, 1706-1717. doi: 10.4236/jamp.2019.78117.