Square : Journal of Mathematics and Mathematics Education
Vol. 6 No. 1 (2024)

Analisis Kestabilan Lokal Model Transmisi Demam Berdarah Dengue

Diana, Arista Fitri (Unknown)
Hajar, Muhammad Ibnu (Unknown)
Ikhtiyar, Zakaria Bani (Unknown)
Aulia, Lathifatul (Unknown)



Article Info

Publish Date
30 Apr 2024

Abstract

Dengue fever transmission in Indonesia has an advanced amount. In this article, dynamic model of interaction between human and Aedes aegypti mosquitos is learned. The SEIRRD (Susceptible, Exposed, Infected, Recovered, Deceased) model is used in this article. The prurpose in this model is to describe the stability of dengue transmission, so that we can analyze the developed of epidemic model in mathemtic field. Using NGM method to analyze basic reproduction number and applying Routh-Hurwitz criteria method to show the local stability of model. Then, two equilibrium points, called endemic and non-endemic equilibrium points, are obtained. The result of basic reproduction number is described the stability analysis. If basic reproduction number less then one, the endemic equilibrium point is locally asymptotically stable and otherwise. Local stability analysis at the equilibrium point is determined through parameter analysis. Furthermore, numerical simulations are carried out by fitting the data to obtaine the result of the parameters. The results of numerical simulations explaine the spread of dengue transmission Keywords: Dynamic Model, Epidemic Model, Equilibrium Point, Local Stability, Routh Hurwitz

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Journal Info

Abbrev

square

Publisher

Subject

Education Mathematics

Description

Square : Journal of Mathematics and Mathematics Education menerbitkan artikel kajian di bidang pendidikan matematika dan kajian ...