Enzymes are biodegradable catalysts naturally present in living organisms. Enzymes
can accelerate biochemical reactions by reducing the activation energy, and they are
not consumed during reaction processes. Numerous applications of enzymes have been
developed in biotechnology, industry, medicine, pharmaceuticals, food processing, biofuels,
and so on. In this study, we develop a mathematical model describing enzymatic
reactions with a Ping-Pong mechanism and competitive substrate inhibition. In order
to obtain insights into the model behaviors, we use Python software to obtain numerical
solutions for the model. Some discussions on the numerical results is provided. Finally,
we briefly discuss a potential application of the model and some future work.