Article ; Online: Global dynamics of alcoholism epidemic model with distributed delays.
Mathematical biosciences and engineering : MBE
2021 Volume 18, Issue 6, Page(s) 8245–8256
Abstract: This paper aims to investigate the global dynamics of an alcoholism epidemic model with distributed delays. The main feature of this model is that it includes the effect of the social pressure as a factor of drinking. As a result, our global stability is ...
| Abstract | This paper aims to investigate the global dynamics of an alcoholism epidemic model with distributed delays. The main feature of this model is that it includes the effect of the social pressure as a factor of drinking. As a result, our global stability is obtained without a "basic reproduction number" nor threshold condition. Hence, we prove that the alcohol addiction will be always uniformly persistent in the population. This means that the investigated model has only one positive equilibrium, and it is globally asymptotically stable independent on the model parameters. This result is shown by proving that the unique equilibrium is locally stable, and the global attraction is shown using Lyapunov direct method. |
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| MeSH term(s) | Alcoholism/epidemiology ; Basic Reproduction Number ; Communicable Diseases/epidemiology ; Epidemics ; Humans ; Models, Biological |
| Language | English |
| Publishing date | 2021-12-09 |
| Publishing country | United States |
| Document type | Journal Article |
| ZDB-ID | 2265126-3 |
| ISSN | 1551-0018 ; 1551-0018 |
| ISSN (online) | 1551-0018 |
| ISSN | 1551-0018 |
| DOI | 10.3934/mbe.2021409 |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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