Effect of ratio threshold control on epidemic dynamics: analysis of an SIR model with non-monotonic incidence

To describe non-continuous control strategy triggered by a predefined ratio of the concerned population in disease progression, an SIR epidemic model with non-monotone incidence is established, dealing with the integrated interventions of vaccination and isolation as ratio-dependent impulsive contro...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear dynamics 2024-07, Vol.112 (14), p.12677-12704
Main Authors: Huang, Ruili, Zhang, Suxia, Xu, Xiaxia
Format: Article
Language:English
Subjects:
Automotive Engineering
Behavior
Classical Mechanics
Control
Convergence
Disease control
Disease transmission
Dynamical Systems
Engineering
Epidemics
Epidemiology
Equilibrium
Immunization
Infectious diseases
Mathematical models
Mechanical Engineering
Subsystems
Vibration
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:To describe non-continuous control strategy triggered by a predefined ratio of the concerned population in disease progression, an SIR epidemic model with non-monotone incidence is established, dealing with the integrated interventions of vaccination and isolation as ratio-dependent impulsive control. Based on the analysis of multiple equilibria and stability for the continuous subsystem, complex property of the impulsive controlled system is conducted theoretically and numerically. It is found that the ratio magnitude as well as the initial value plays an important role in the threshold dynamics, determining the trajectory convergence to the order-k(k < 3 ) periodic solution, the endemic equilibria or the disease free equilibrium under certain conditions. Moreover, numerical examples are provided to demonstrate the theoretical results, and in particular, the case of converging to an order-2 periodic solution is presented in simulation, revealing the influence of the ratio threshold control on disease transmission.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-09699-1