Speaker
Description
Epidemics place strong pressure on healthcare systems, particularly on hospital and intensive care unit (ICU) capacity. In this work, we present an extended compartmental SAIR model to study epidemic dynamics and their interaction with healthcare resources. The model explicitly distinguishes between hospitalized and ICU patients, providing a detailed representation of hospital dynamics. It is designed to analyze how hospital occupancy influences epidemic progression and to investigate the impact of healthcare system saturation on mortality rates.
We present the model formulation, including the functions describing hospital and ICU bed occupancy, and analyze the equilibrium points and the basic reproduction number. Numerical simulations are provided to support the theoretical results and illustrate the model dynamics.