A ratio-dependent impulsive control of an SIQS epidemic model with non-linear incidence

作者：

Highlights：

• One gives some conditions for the globally stability of the disease-free equilibrium point under the control strategy.

• The existence and stability of the order-1 and order-2 periodic solution are proven.

• The sufficient conditions for the stability of the endemic equilibrium point are given.

摘要

•One gives some conditions for the globally stability of the disease-free equilibrium point under the control strategy.•The existence and stability of the order-1 and order-2 periodic solution are proven.•The sufficient conditions for the stability of the endemic equilibrium point are given.

论文关键词：Ratio-dependent impulsive control,SIQS epidemic model,Nonlinear incidence,Poincare map,Vector field analysis

论文评审过程：Received 10 October 2021, Revised 20 January 2022, Accepted 10 February 2022, Available online 19 February 2022, Version of Record 19 February 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127018