TY: JOUR
T1 - Global stability condition for the disease-free equilibrium point of fractional epidemiological models
A1 - Almeida, Ricardo
A1 - Martins, Natália
A1 - Silva, Cristiana J.
N2 - In this paper, we present a new result that allows for studying the global stability of the
disease-free equilibrium point when the basic reproduction number is less than 1, in the fractional
calculus context. The method only involves basic linear algebra and can be easily applied to study
global asymptotic stability. After proving some auxiliary lemmas involving the Mittag?Leffler
function, we present the main result of the paper. Under some assumptions, we prove that the
disease-free equilibrium point of a fractional differential system is globally asymptotically stable.
We then exemplify the procedure with some epidemiological models: a fractional-order SEIR model
with classical incidence function, a fractional-order SIRS model with a general incidence function,
and a fractional-order model for HIV/AIDS.
UR - https://ria.ua.pt/handle/10773/32647
Y1 - 2021
PB - MDPI