@Article{JNMA-5-524,
author = {Yang , YuAbdullah , Tariq Q. S.Huang , Gang and Dong , Yueping},
title = {Mathematical Analysis of SIR Epidemic Model with Piecewise Infection Rate and Control Strategies},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {3},
pages = {524--539},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.524},
url = {http://global-sci.org/intro/article_detail/jnma/21949.html}
}