Aplikasi Metode Transformasi Diferensial  pada Sistem Persamaan Diferensial Biasa

Khatizah, Elis

doi:10.31227/osf.io/mygxt

Cited by 1 publication

(2 citation statements)

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“…New arrivals from one infected individual in all groups of susceptible individuals are worth less than one or equal to one (𝑅 0 ≤ 1). Then, by defining 𝑉 𝑘 : Γ 𝑘 ⊂ ℝ 3…”

Section: Discussionmentioning

confidence: 99%

“…The model was developed to describe the rate of spread and extinction of disease in an area in a closed population. This model is one of the mathematical models that can be described in a differential equation [1], which includes linear differential equations [2] and nonlinear equations [3]. This epidemic model contains three subclasses in an equation system, namely Susceptible which is a subclass of susceptible individuals in a group, infected which is a subclass of individuals who have been infected in a group, and Recovered is a subclass of individuals who have recovered in a group.…”

Section: Introductionmentioning

confidence: 99%

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Global Stability Analysis of Susceptible, Infected, Recovered (S, I, R) Model Measles Vaccination Based on Age

Juhari,

Karinina,

Aziz

et al. 2023

InPrime:Ind.Jour.Pure.Applied.Math

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This study discusses the behavioral analysis model of the Susceptible-Infected-Recovered (SIR) epidemic of the spread of measles based on age structure. The total population of measles is grouped into four age groups, namely the first age group (0-4 years), the second age group (5-9 years), the third age group (10-14 years) and the fourth age group (> 15 years). The steps in modeling behavior can be done by determining the equilibrium point, and the basic reproduction number and performing a global stability analysis by building the Lyapunov function. This research contributes to providing information both to the government and the community.Keywords: Epidemic Model; SIR; Lyapunov function; Measles. AbstrakPenelitian ini membahas model analisis perilaku epidemi Susceptible-Infected-Recovered (SIR) penyebaran campak berdasarkan struktur umur. Jumlah penduduk yang terkena campak dikelompokkan menjadi empat kelompok umur, yaitu kelompok umur pertama (0-4 tahun), kelompok umur kedua (5-9 tahun), kelompok umur ketiga (10-14 tahun) dan kelompok umur keempat. (> 15 tahun). Langkah-langkah dalam pemodelan perilaku dapat dilakukan dengan menentukan titik ekuilibrium, bilangan reproduksi dasar dan melakukan analisis stabilitas global dengan membangun fungsi Lyapunov. Penelitian ini memberikan kontribusi untuk memberikan informasi baik kepada pemerintah maupun masyarakat.Kata Kunci: Model Epidemi; PAK; fungsi Lyapunov; Campak. 2020MSC: 00A71.

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“…New arrivals from one infected individual in all groups of susceptible individuals are worth less than one or equal to one (𝑅 0 ≤ 1). Then, by defining 𝑉 𝑘 : Γ 𝑘 ⊂ ℝ 3…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%