- Journal of Scientific Perspectives
- Vol: 3 Issue: 1
- A SIMPLE MATHEMATICAL MODEL THROUGH FRACTIONAL-ORDER DIFFERENTIAL EQUATION FOR PATHOGENIC INFECTION
A SIMPLE MATHEMATICAL MODEL THROUGH FRACTIONAL-ORDER DIFFERENTIAL EQUATION FOR PATHOGENIC INFECTION
Authors : Ilhan Öztürk, Bahatdin Daşbaşi, Gizem Cebe
Pages : 29-40
Doi:10.26900/jsp.3.004
View : 11 | Download : 4
Publication Date : 2019-01-31
Article Type : Research
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