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All Journal Research in the Mathematical and Natural Sciences Pattimura International Journal of Mathematics (PIJMath)
Nadiyyah, Ana
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Computer Science & IT Education Mathematics

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Model Matematika SEIPRS Penyebaran Penyakit Pneumonia dengan Pengaruh Vaksinasi dan Pengobatan Beta, Muhammad Afrizal; Mokoginta, Karmila; Nadiyyah, Ana
Research in the Mathematical and Natural Sciences Vol. 1 No. 1 (2022): November 2021-April 2022
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (318.982 KB) | DOI: 10.55657/rmns.v1i1.6

Abstract

Pneumonia is an infection or acute inflammation located in the lung tissue and is caused by several microorganisms, such as bacteria, viruses, parasites, fungi and even exposure to chemicals or physical damage. In this article, we discuss the SEIPRS mathematical model on the spread of pneumonia. The SEIPRS mathematical model is formed from five interacting populations, namely the Susceptible population is healthy individuals but susceptible to pneumonia which is denoted by S, the Exposed population is latent individuals or exposed to pneumonia which is denoted by E, the Infected population is individuals infected with pneumonia which is denoted by I, and the treatment population is infected individuals who are given treatment denoted by P, and the recovered population is the recovered population denoted by R. In this article, the search for equilibrium points in the SEIPRS mathematical model and stability analysis is carried out. The analysis in this model produces two equilibrium points, namely the equilibrium point without disease at the condition R0<1, the endemic equilibrium point R0>1, and the basic reproduction number (R0) as the threshold value for the spread of disease. In this study, simulations were carried out with variations in parameter values ​​to see population dynamics. Population results show that increasing rates of vaccination and treatment can reduce the rate of spread of pneumonia.
Determination of Premium Price for Rice Crop Insurance in Gorontalo Province Based on Rainfall Index with Black Scholes Method Nadiyyah, Ana; Rahmi, Emli; Nasib, Salmun K.; Nuha, Agusyarif Rezka; Yahya, Nisky Imansyah; Nashar, La Ode
Pattimura International Journal of Mathematics (PIJMath) Vol 3 No 2 (2024): Pattimura International Journal of Mathematics (PIJMath)
Publisher : Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pijmathvol3iss2pp51-62

Abstract

With its complex topography, Gorontalo Province experiences significant rainfall variations that impact the agricultural sector, particularly rice crops. These variations can cause substantial losses for farmers. One way to address uncertain probabilities caused by rainfall is through agricultural insurance. This research aims to calculate the value of agricultural insurance premiums based on the rainfall index. The Black- Scholes method is used to calculate the premiums, while the Burn Analysis method is employed to determine the rainfall index. The research results classify the rainfall index values in Gorontalo Province into 7 (seven) percentiles. The lowest is at the 20th percentile, with 17.37 mm and a premium value of IDR 1,574,190, while the highest is at the 80th percentile, with 17.65 mm and a premium value of IDR 2,154,574. This indicates that the higher the rainfall, the greater the premium to be paid.
Co-Authors Agusyarif Rezka Nuha Beta, Muhammad Afrizal La Ode Nashar Mokoginta, Karmila NISKY IMANSYAH YAHYA Rahmi, Emli Salmun K. Nasib