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

Authors : İlhan ÖZTÜRK, Bahatdin DAŞBAŞI, Gizem CEBE

Pages : 29-40

Doi:10.26900/jsp.3.004

View : 10 | Download : 4

Publication Date : 2019-01-31

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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