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This paper aims at solving of a two ordinary differential models equations for cardiovascularrespiratory system using a new recent method: Perturbation Iteration method. The description of this method for different orders of derivative in the Taylor Series expansion is discussed. This method provides the solution in the form of an infinite series for ordinary differential equation. The efficiency of the method used is investigated by a comparison of Euler method and Runge Kutta. The numerical simulations of all theses three methods are implemented in Matlab. The validation has been carried out by taking the values of determinant parameters of cardiovascular-respiratory system for a 30 years old woman who is supposed to do three in regular physical activity: Walking, Jogging and Running fast. The results are in good agreement with experimental data.

international journal of scientific and innovative mathematical research

Perturbation-Iteration Method for Solving Mathematical Model of Blood Partial Pressures in Human Cardiovascular-Respiratory System during Physical Activity