Stability Analysis of an Incommensurate Fractional-Order SIR Model
Bahatdin Daşbaşı
Abstract
In this paper, a fractional-order generalization of the susceptible-infected-recovered (SIR) epidemic model for predicting the spread of an infectious disease is presented. Also, an incommensurate fractional-order differential equations system involving the Caputo meaning fractional derivative is used. The equilibria are calculated and their stability conditions are investigated. Finally, numerical simulations are presented to illustrate the obtained theoretical results.
Topics & Concepts
Order (exchange)Stability (learning theory)MathematicsStatistical physicsPhysicsEconomicsComputer scienceMachine learningFinanceFractional Differential Equations SolutionsAdvanced Control Systems DesignNumerical methods for differential equations