Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

Mathematical Biosciences and Engineering

Ke Guo¹  Wanbiao Ma¹ 

[1] School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China;

关键词: si epidemic model;    feedback control;    time delay;    lyapunov functional;    global stability;   

DOI  :  10.3934/mbe.2021035

来源: DOAJ

【 摘 要 】

In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle and Barbalat's lemma, the global dynamics of the model are established. Our results extend and improve related works in the existing literatures.

【 授权许可】

Unknown