A SIMPLE MATHEMATICAL MODEL THROUGH FRACTIONAL-ORDER DIFFERENTIAL EQUATION FOR PATHOGENIC INFECTION

Year 2019, Volume: 3 Issue: 1, 29 - 40, 31.01.2019

İlhan Öztürk , Bahatdin Daşbaşı , Gizem Cebe

https://doi.org/10.26900/jsp.3.004

Abstract

The model in this study, examined the time-dependent changes in the
population sizes of pathogen-immune system, is presented mathematically by
fractional-order differential equations (FODEs) system. Qualitative analysis of
the model was examined according to the parameters used in the model. The
proposed system has always namely free-infection equilibrium point and the
positive equilibrium point exists when specific conditions dependent on
parameters are met, According to the threshold parameter R_0, it is founded the
stability conditions of these equilibrium points. Also, the qualitative
analysis was supported by numerical simulations.

Keywords

Fractional-Order Differential Equation, Numerical Simulation, Stability Analysis

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