Global Existence and Boundedness of the Solution for a Blood Oxygenation Model

We provide some results on the global existence and boundeness of the solution of a reaction-diffusion system which consists of the five coupled equations. This system is a generalization of a theoretical model for the rate of blood oxygenation in the human lung. The upper-lower solution method, semigroup theory, and a priori estimates in parabolic systems are used to obtain these results.