Groupe d’études et de recherche en analyse des décisions

Fuzzy fractional-order model of the novel coronavirus: The impact of delay strategies on the pandemic dynamics model with nonlinear incidence rate

Massimiliano Ferrara Mediterranea University of Reggio Calabria, Italie

Massimiliano Ferrara

Présentation sur YouTube

In this paper, a novel coronavirus infection system with a fuzzy fractional differential equation defined in Caputo’s sense is developed. By using the fuzzy Laplace method coupled with Adomian decomposition transform, numerical results are obtained for better understanding of the dynamical structures of the physical behavior of COVID-19. Such behavior on the general properties of RNA in COVID-19 is also investigated for the governing model. Due to non-availability of the vaccination, delay strategies such as social distancing, travel restrictions, extension in holidays, use of face-mask, and self- quarantine are the effective treatment to control the pandemic of coronavirus. So, we proposed the delayed susceptible-exposed- infected-recovered model with nonlinear incidence rate to study the effective role of delay strategies. For this analysis, we discussed three types of equilibria of the model such as trivial, coronavirus free and coronavirus existence with delay term. The local and global stabilities are investigated by using well-posed notation, Routh Hurwitz criterion, Lyapunov function, and Lasalle invariance principle.