Fractional SIS Epidemic Models
Caterina Balzotti
Abstract
In this paper, we consider the fractional SIS (susceptible-infectious-susceptible) epidemic model (α-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fractional model and we illustrate the results by numerical schemes. A comparison with the limit case when the fractional order α converges to 1 (the SIS model) is also given. We analyze the effects of the fractional derivatives by comparing the SIS and the α-SIS models.
Topics & Concepts
Fractional calculusEpidemic modelApplied mathematicsConstant (computer programming)MathematicsLimit (mathematics)PopulationPopulation modelRepresentation (politics)Calculus (dental)Computer scienceMathematical analysisMedicineEnvironmental healthDentistryPoliticsLawProgramming languagePolitical scienceFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis