Year: 2023
Author: Yu Yang, Tariq Q. S. Abdullah, Gang Huang, Yueping Dong
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 524–539
Abstract
The limitation of contact between susceptible and infected individuals plays an important role in decreasing the transmission of infectious diseases. Prevention and control strategies contribute to minimizing the transmission rate. In this paper, we propose SIR epidemic model with delayed control strategies, in which delay describes the response and effect time. We study the dynamic properties of the epidemic model from three aspects: steady states, stability and bifurcation. By eliminating the existence of limit cycles, we establish the global stability of the endemic equilibrium, when the delay is ignored. Further, we find that the delayed effect on the infection rate does not affect the stability of the disease-free equilibrium, but it can destabilize the endemic equilibrium and bring Hopf bifurcation. Theoretical results show that the prevention and control strategies can effectively reduce the final number of infected individuals in the population. Numerical results corroborate the theoretical ones.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.524
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 524–539
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Epidemic model prevention and control strategy piecewise infection rate Hopf bifurcation.