2021/07/04 by Balzotti, Caterina, D'Ovidio, Mirko, Lai, Anna Chiara +1
#26A33 #34A34 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2107.02877
We study epidemic Susceptible-Infected-Susceptible models in the fractional setting. The novelty is to consider models in which the susceptible and infected populations evolve according to different fractional orders. We study a model based on Caputo derivative, for which we establish existence results of the solutions. Also, we investigate a model based on Caputo-Fabrizio operator, for which we provide existence of solutions and a study of the equilibria. Numerical simulations for both models and a direct numerical comparison are also provided.