The SIR epidemic model with delay in the context of the fractional derivative with Mittag–
Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non …

In this paper, we investigate the global dynamics of a general SIRS epidemic model with a
ratio-dependent incidence rate and its corresponding stochastic differential equation …

In the history of the world, contagious diseases have been proved to pose serious threats to
humanity that needs uttermost research in the field and its prompt implementations. With this …

Stability conditions for functional differential equations can be obtained using Lyapunov
functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential …

The present paper studies a stochastic SIRS epidemic model with general incidence rate in
a population of varying size. Sufficient conditions for the extinction and the existence of a …

Hand, foot and mouth disease (HFMD) is highly contagious and occurs primarily among
children under the age of five. Analysis of transmission dynamics of infectious diseases is …

This paper deals with global dynamics of an SIRS epidemic model for infections with non
permanent acquired immunity. The SIRS model studied here incorporates a preventive …

This paper is concerned with the dynamical behavior of a stochastic SIQR epidemic model
with standard incidence which is disturbed by both white and telegraph noises. Firstly, we …

This paper presents dynamic model of COVID-19 and citizens reaction from a fraction of the
population in Nigeria using fractional derivative. We consider the reported cases from …

Before going further with fractional derivative which is constructed by Rabotnov exponential
kernel, there exist many questions that are not addressed. In this paper, we try to …