Global behavior of Heroin epidemic model with time distributed delay and nonlinear incidence function
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<1the drug-free equilibrium is globally as...
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| Auteurs principaux: | , , , , |
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| Format: | article |
| Langue: | EN |
| Publié: |
Elsevier
2021
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/71bf8a3d3d38410bbb71fa52f0829253 |
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| Résumé: | 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<1the 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>1using a suitable Lyapunov function. The mathematical results are illustrated by numerically simulations. |
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