A discrete SIS model of fractional order

2021 ◽  
Vol 11 (3/4) ◽  
pp. 275
Author(s):  
Sabrina Streipert ◽  
Tom Cuchta
Keyword(s):  
Fractional Order ◽  
Sis Model

scholarly journals Fractional SIS Epidemic Models

2020 ◽  
Vol 4 (3) ◽  
pp. 44
Author(s):  
Caterina Balzotti ◽  
Mirko D’Ovidio ◽  
Paola Loreti
Keyword(s):  
Population Size ◽  
Fractional Order ◽  
Epidemic Model ◽  
Explicit Solution ◽  
Fractional Derivatives ◽  
Epidemic Models ◽  
Limit Case ◽  
Numerical Schemes ◽  
Sis Model ◽  
Sis Epidemic

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.

Stability in a Discrete Fractional Order Prey Predator System with Functional Response

2017 ◽  
Vol 7 (5) ◽  
pp. 630-633 ◽  
Author(s):  
A. George Maria Selvam ◽  
◽  
R. Janagaraj ◽  
Britto Jacob. S ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Fractional Order ◽  
Predator System

The properties of Bessel-type fractional derivatives and integrals

2016 ◽  
pp. 3973-3982
Author(s):  
V. R. Lakshmi Gorty
Keyword(s):  
Fractional Order ◽  
Real Line ◽  
Computer Algebra System ◽  
Fractional Derivatives ◽  
Graphical Representation ◽  
Fractional Integrals ◽  
The Real ◽  
Fractional Derivatives And Integrals ◽  
Half Axis ◽  
Derivatives Of

The fractional integrals of Bessel-type Fractional Integrals from left-sided and right-sided integrals of fractional order is established on finite and infinite interval of the real-line, half axis and real axis. The Bessel-type fractional derivatives are also established. The properties of Fractional derivatives and integrals are studied. The fractional derivatives of Bessel-type of fractional order on finite of the real-line are studied by graphical representation. Results are direct output of the computer algebra system coded from MATLAB R2011b.

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