Global behavior of Heroin epidemic model with time distributed delay and nonlinear incidence function

Salih Djilali, Soufiane Bentout, Tarik Mohammed Touaoula, Abdessamad Tridane, Sunil Kumar

Research output: Contribution to journalArticlepeer-review

Abstract

In this research, we investigate the global properties of the heroin epidemic model with time distributed delay and nonlinear incidence function. We show that the system has threshold dynamics in terms of R0, and we prove, a Lyapunov function, that for R0<1 the drug-free equilibrium is globally asymptotically stable. For R0>1, we give the persistence result of the heroin consumption. We also show the global stability of the endemic equilibrium for R0>1 using a suitable Lyapunov function. The mathematical results are illustrated by numerically simulations.

Original languageEnglish
Article number104953
JournalResults in Physics
Volume31
DOIs
Publication statusPublished - Dec 2021

Keywords

  • Global stability
  • Lyapunov functional
  • Uniform persistence
  • Weak delay

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'Global behavior of Heroin epidemic model with time distributed delay and nonlinear incidence function'. Together they form a unique fingerprint.

Cite this