Optimal Control Strategy for Alcoholism Model with Two Infected Compartments

dc.contributor.authorMu'tamar, Khozin
dc.date.accessioned2019-07-22T07:46:46Z
dc.date.available2019-07-22T07:46:46Z
dc.date.issued2019-07-22
dc.description.abstractThis article discussed mathematical model of alcoholism with optimal control.Model is designed using system of differential equations based on Susceptible, Infectible and Resistant (SIR) model. Infected individuals is divided into two compartments, admitted and non-admitted to alcoholism. Optimal control is used to prevent interaction between susceptible individual and infected individuals. Stability analysis is done locally using Routh-Hurwitz criteria. It can be shown that optimal control determines stability of the system. In the end of article, numerical simulation is given to illustrate uncontrolled and controlled system. The results show optimal control succeed to reduce infected individuals. Controlled system has higher susceptible individuals and has lower infected individuals than uncontrolled system.en_US
dc.description.sponsorshipIOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 14, Issue 3 Ver. I (May - June 2018), PP 58-67 www.iosrjournals.orgen_US
dc.identifier.issn2278-5728
dc.identifier.otherwahyu sari yeni
dc.identifier.urihttp://www.iosrjournals.org/iosr-jm/papers/Vol14-issue3/Version-1/K1403015867.pdf
dc.identifier.urihttps://repository.unri.ac.id/handle/123456789/9740
dc.language.isoenen_US
dc.publisherwahyu sari yenien_US
dc.subjectAlcoholism modelen_US
dc.subjectlocal stabilityen_US
dc.subjectoptimal controlen_US
dc.subjectRouth-Hurwitz criteriaen_US
dc.subjectSIR modelen_US
dc.titleOptimal Control Strategy for Alcoholism Model with Two Infected Compartmentsen_US
dc.typeArticleen_US

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