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

## Authors

• İlhan ÖZTÜRK Erciyes University/TURKEY
• Bahatdin DAŞBAŞI Kayseri University/TURKEY
• Gizem CEBE Kangal Koç Anatolian High School/TURKEY

## Keywords:

Fractional-Order Differential Equation, Numerical Simulation, Stability Analysis.

## 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 R0 , it is founded the stability conditions of these equilibrium points. Also, the qualitative analysis was supported by numerical simulations.

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2019-01-31

## How to Cite

ÖZTÜRK, İlhan, DAŞBAŞI, B., & CEBE, G. (2019). A SIMPLE MATHEMATICAL MODEL THROUGH FRACTIONAL-ORDER DIFFERENTIAL EQUATION FOR PATHOGENIC INFECTION. HEALTH SCIENCES QUARTERLY, 3(1), 29–40. https://doi.org/10.26900/jsp.3.004

## Section

Letter to the Editor