@article{Chaihao2023, 
author = {Butsayapat Chaihao and Sujin Khomrutai},
title = {Extinction and permanence of a general non-autonomous discrete-time SIRS epidemic model},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {9624-9646},
keywords = {non-autonomous SIRS model, threshold parameters, extinction, permanence, number of hospital beds},
url = {https://www.sciopen.com/article/10.3934/math.2023486},
doi = {10.3934/math.2023486},
abstract = {We investigate a non-autonomous discrete-time SIRS epidemic model with nonlinear incidence rate and distributed delays combined with a nonlinear recovery rate taken into account the impact of health care resources. Two threshold parameters              R        0    ,            R        ∞   are obtained so that the disease dies out when              R        0    <  1; and the infective persists indefinitely when              R        ∞    >  1.}
}