Modeling the kinetics behind the patients flow

In many practical applications, such as modeling the patients flow through a hospital, the dynamical system under consideration is described by a compartmental network system. A law of mass conservation governs this kinetic system, the instantaneous flow balances around the compartments are expressed by first order differential equations, and the state variables are constrained to remain non-negative along the system trajectories. The aim of this paper is to develop a compartmental kinetic model of the patients flow, providing a reliable picture of the dynamics behind the movement of patients. The snapshot of the modeled health care system on short or even medium-term will enable the hospital staff to simulate in vitro different scenarios and help them to make an optimum decision.