Opioid misuse continues to cause significant harm. To investigate current research, we
conducted a scoping literature review of disease spread models of opioid misuse from …

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 …

The phenomenon of drug epidemics has been a global issue in the past decades, causing
enormous damages to the physical and mental health of drug users and social well-being …

We consider an age structured heroin epidemic model, in a population divided into three
sub-populations: S the susceptible individuals, U 1 the drug users and U 2 the drug users …

Intravenous substance consumption is on the upswing all over the globe, especially in
Europe and Asia. It is extremely harmful to society; excessive substance consumption is the …

To study the consumption of heroin in a heterogeneous environment, we propose and
analyze a spatiotemporal model with a distributed delay. Using the spectral theory, we …

In this paper, we study and solve linear neutral delay differential equations. We investigate
the reliability and accuracy of applying the Laplace transform to obtain the solutions of linear …

Opioid addiction has become a global epidemic and a national health crisis in recent years,
with the number of opioid overdose fatalities steadily increasing since the 1990s. In contrast …

In this paper, a model for the use of heroin with treat-age is formulated based on the
principles of mathematical epidemiology. The model accounts for relapse rate that depends …

In this paper, we present a new method for solving linear neutral delay differential equations.
We derive and illustrate the main features of this novel approach, that combines the Laplace …