[PDF][PDF] Differential equation models for infectious diseases: Mathematical modeling, qualitative analysis, numerical methods and applications

MT Hoang, M Ehrhardt - 2024 - imacm.uni-wuppertal.de
Mathematical epidemiology has a long history of origin and development. In particular,
mathematical modeling and analysis of infectious diseases has become a fundamental and …

Sco** Literature Review of Disease Modeling of the Opioid Crisis

C Spence, ME Kurz, TC Sharkey… - Journal of Psychoactive …, 2024 - Taylor & Francis
Opioid misuse continues to cause significant harm. To investigate current research, we
conducted a sco** literature review of disease spread models of opioid misuse from …

Controlling heroin addiction via age-structured modeling

A Din, Y Li - Advances in Difference Equations, 2020 - Springer
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 …

A heroin epidemic model: very general non linear incidence, treat-age, and global stability

S Djilali, TM Touaoula, SEH Miri - Acta Applicandae Mathematicae, 2017 - Springer
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 …

Dynamics of a delayed nonlocal reaction–diffusion heroin epidemic model in a heterogenous environment

S Djilali, Y Chen, S Bentout - Mathematical Methods in the …, 2025 - Wiley Online Library
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 …

Dynamic behaviour for a nonautonomous heroin epidemic model with time delay

GP Samanta - Journal of Applied Mathematics and Computing, 2011 - Springer
In this paper, we have modified the White and Comiskey heroin epidemic model (White and
Comiskey in Math. Biosci. 208: 312–324, 2007) into a nonautonomous heroin epidemic …

Modelling the dynamics of crystal meth ('tik') abuse in the presence of drug-supply chains in South Africa

F Nyabadza, JBH Njagarah, RJ Smith - Bulletin of mathematical biology, 2013 - Springer
Substance abuse remains a global problem, with immense health and social consequences.
Crystal meth, known as 'tik'in South Africa, is a growing problem, and its supply chains have …

Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching

J Zhan, Y Wei - Chaos, Solitons & Fractals, 2024 - Elsevier
Motivated by the global impact of heroin addiction and the challenges associated with
relapse rates among users, this paper investigates a stochastic non-autonomous distributed …

[HTML][HTML] A note on global stability for a heroin epidemic model with distributed delay

G Huang, A Liu - Applied Mathematics Letters, 2013 - Elsevier
By using the direct Lyapunov method and constructing appropriate Lyapunov functional, the
global stability for the heroin epidemic model with distributed delay is investigated. It is …