Incorporating Sensitization in Mathematical Modeling of Alcoholism as an Infectious Disease

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dc.contributor.authorObuya Joseph Ochieng, Kimathi George and Kaluki Winnie
dc.date.accessioned2024-05-13T08:45:20Z
dc.date.available2024-05-13T08:45:20Z
dc.date.issued2020
dc.descriptionJournal Article
dc.description.abstractAlcoholism is a problem that affects different aspects of our life in the society. In this study, alcoholism was taken and treated as an infectious disease. We developed a SISeTR model, which is a mathematical model of alcoholism as an infectious disease with five compartments i.e. susceptible, infected, sensitized, treated and recovered. The R0 was developed and the model stability and the existence of equilibrium points determined. From the quantitative analysis of the study, it was found that the local stability existed when R0<1. From the numerical analysis, we determined that Sensitization affects the dynamics of the model. We established that an increase in sensitization leads to a decline in the number of infections. This suggests that there is need for the relevant stakeholders to increase the rate of sensitization of the population as a measure of reducing the spread of alcoholism in the society
dc.identifier.citationObuya J. O., Kimathi G., Kaluki W. (2020): Incorporating Sensitization in Mathematical Modeling of Alcoholism as an Infectious Disease. International Journal of Novel Research in Physics Chemistry & Mathematics
dc.identifier.issn2394-9651
dc.identifier.urihttps://repository.daystar.ac.ke/handle/123456789/4603
dc.language.isoen
dc.publisherInternational Journal of Novel Research in Physics Chemistry & Mathematics
dc.relation.ispartofseriesVol. 7, Issue 2
dc.subjectAlcoholism
dc.subjectModel
dc.subjectSensitization
dc.subjectInfectious
dc.subjectLocal Stability
dc.subjectEquilibrium
dc.subjectGlobal Stability
dc.titleIncorporating Sensitization in Mathematical Modeling of Alcoholism as an Infectious Disease
dc.typeArticle

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