Patients diagnosed with positive coronavirus results suffer from difficulties in breathing and major drop in blood oxygen saturation. This could lead unfortunately to a possible death if not treated well. Thus, this has increased the demand for the medical mechanical ventilators worldwide. The idea behind this work is development of a computational model for the study of the impact of different ventilation modes on patient’s respiratory system generally, and lungs more specifically. This model has been created using Matlab/Simulink platform. The studied ventilation mode is the Pressure Controlled Ventilator (PCV) signal combined to single and two compartmental models in series and in parallel mathematical models configuration of the lungs that represent the respiratory system parameters for testing. The ventilator’s setup includes the following parameters: positive end-expiratory pressure (PEEP), pressure wave, respiratory rate (RR), tidal volume, and others. By changing one of these parameters, we can monitor how this will affect the lungs by checking the volume, flow and PV loop for each lung mode. Simulation results have been recorded and are promising because this allows to study any type of ventilation modes conventional or novel ones virtually without the need to jeopardize the life of human subjects during clinical trials.