In this paper we prove an elementary lemma which estimates fractional derivatives of
Volterra-type Lyapunov functions in the sense Caputo when α∈(0, 1). Moreover, by using …

COVID-19 is a major health threat across the globe, which causes severe acute respiratory
syndrome (SARS), and it is highly contagious with significant mortality. In this study, we …

The aim of the present study is to consider a heroin epidemic model with age-structure only
in the active heroin users. The model was formulated with the help of available literature on …

COVID-19 is an emerging and rapidly evolving pandemic around the world, which causes
severe acute respiratory syndrome and results in substantial morbidity and mortality. To …

In this paper, we consider an SIRS epidemic model with vaccination on heterogeneous
networks. By constructing suitable Lyapunov functions, global stability of the disease-free …

In this paper, stochastic effect on the spread of the infectious disease with saturated
incidence rate and the special transfer from infectious is discussed. The threshold dynamics …

In this paper, we will study a fractional-order SIR epidemic model with treatment cure rate.
The paper starts with the investigation of some needed preliminaries related to fractional …

In this paper, we propose an SIRS epidemic model with a nonlinear incidence and transfer
from infectious to susceptible. Applying LaSalle's invariance principle and Lyapunov direct …

In this paper, an SIQR (Susceptible, Infected, Quarantined, Recovered) epidemic model with
vaccination, elimination, and quarantine hybrid strategies is proposed, and the dynamics of …

This paper is concerned with the mathematical analysis of an age-structured multi-group
heroin epidemic model, which can be used to describe the spread of heroin habituation and …