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dc.contributor.advisorSyahputra, Muhammad Romi
dc.contributor.authorBurmawan, Akbar Rahimsyah
dc.date.accessioned2024-09-12T04:44:25Z
dc.date.available2024-09-12T04:44:25Z
dc.date.issued2024
dc.identifier.urihttps://repositori.usu.ac.id/handle/123456789/97232
dc.description.abstractThis study aims to analyze the SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) model of tuberculosis transmission by adding several assumptions to the rate of individuals transitioning from susceptible to latent (B), determine the equilibrium point and the basic reproduction number (Ro), and perform numerical simulations to analyze the results of the SEIRS model. The assumption of this SEIRS model is that there is a possibility that the population recovered from tuberculosis is susceptible to reinfection. This model consists of four compartments: the susceptible population, the exposed population, the infected population, and the recovered population. The data used are from the Medan City Health Office regarding the number of tuberculosis patients in 2022. Based on the results of the SEIRS model simulation, the smallest basic reproduction number (Ro) is obtained with B=0, resulting in Ro=3,9×10−7, and the largest basic reproduction number (Ro) is obtained with B=1, resulting in 7,9×10−6. Therefore, it can be concluded from these conditions that Ro<1, which means that tuberculosis is not an epidemic in the city of Medan and is decreasing from one generation to the next.en_US
dc.language.isoiden_US
dc.publisherUniversitas Sumatera Utaraen_US
dc.subjectBasic reproduction numberen_US
dc.subjectEquilibrium pointen_US
dc.subjectSEIRS modelen_US
dc.subjectTuberculosisen_US
dc.subjectSDGsen_US
dc.titleKajian Model Seirs Penyebaran Penyakit Tuberkulosis di Kota Medanen_US
dc.title.alternativeStudy of The Seirs Model on The Spread of Tuberculosis in Medanen_US
dc.typeThesisen_US
dc.identifier.nimNIM200803057
dc.identifier.nidnNIDN0115118903
dc.identifier.kodeprodiKODEPRODI44201#Matematika
dc.description.pages59 Pagesen_US
dc.description.typeSkripsi Sarjanaen_US


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