Analysis through the FDE Mathematical Model with Multiple Orders the Effects of the Specific Immune System Cells and the Multiple Antibiotic Treatment against Infection

Abstract

In this study, the infection process in infectious individual is mathematically modeled by using a system of multiple fractional order differential equations. Qualitative analysis of the model was done. To mathematically examine the effect of Pseudomonas Aeruginosa and Mycobacterium tuberculosis and their treatment methods, the results of the proposed model are compared with numerical simulations with the help of datas obtained from the literature.

Keywords

• Fractional-Order Differential Equation,Mathematical model,Qualitative Analysis,Numerical Simulation

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