Numerical Solution of SIRS model for Dengue Fever Transmission in Makassar Citywith Runge Kutta Method

Sanusi, Wahidah; Pratama, Muh. Isbar; Rifandi, Muh.; Sidjara, Sahlan; Irwan, .; Side, Sumiati

doi:10.1088/1742-6596/1752/1/012004

Cited by 7 publications

(3 citation statements)

References 5 publications

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“…Pemodelan matematika yang dapat digunakan dalam kasus stunting ini adalah model matematika SEIR (Suspectible, Exposed, Infected, and Recovered). Pada pemodelan matematika SEIR, populasi dibagi menjadi 4 subpopulasi yaitu populasi rentan terkena penyakit (S), populasi yang menunjukkan gejala terkena penyakit (E), populasi terinfeksi penyakit (I), Populasi yang sembuh/bebas dari infeksi (R) (Sanusi et al, 2021). Beberapa peneliti telah melakukan pemodelan terhadap penyebaran penyakit, seperti pemodelan matematika SEIR terhadap penyebaran penyakit tubercolosis (Side et al, 2016), Pemodelan matematika SEIR terhadap Covid-19 (Annas et al, 2020), dan Pemodelan matematika terhadap penyakit pneumonia (Side et al, 2021).…”

Section: Pendahuluanunclassified

Simulasi Pemodelan Matematika Seir Terhadap Pengaruh Sanitasi Pada Kasus Stunting Di Indonesia

Muh. Isbar Pratama,

Lismayani

2023

Proximal

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Penelitian ini bertujuan untuk membangun model matematika untuk menggambarkan perubahan jumlah kasus stunting dengan faktor sanitasi tipe SEIR (Susceptible – Exposed - Infected – Recovered) di Indonesia. Model matematika yang telah dibuat kemudian dianalisis kestabilan modelnya. Setelah kestabilan model dianlisis, dilanjutkan dengan simulasi model menggunakan software Maple 18. Simulasi dilakukan sebanyak 3 kali dengan nilai faktor sanitasi yang berbeda yaitu 0.0002, 0.451, dan 0.5217. Hasil simulasi menunjukkan semakin tinggi angka sanitasi maka angka kasus stunting lebih cepat menurun

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Section: Pendahuluanunclassified

Simulasi Pemodelan Matematika Seir Terhadap Pengaruh Sanitasi Pada Kasus Stunting Di Indonesia

Muh. Isbar Pratama,

Lismayani

2023

Proximal

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“…Dengue fever is an infectious disease transmitted by mosquito and it occurs in several areas of the world. It causes a high fever and flu symptoms but sometimes it causes a serious bleeding, a sudden drop in blood pressure and death [3,8,16,18]. Dengue fever is most common in Southeast Asia, the western Pacific islands, Latin America and Africa.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method

Maayah,

Bushnaq,

Moussaoui

2023

J. Math. Computer Sci.

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In this research article, we handle the susceptible infected-recovered (SIR) model of the dengue fever epidemic under Caputo Fabrizio fractional derivative. The dengue fever disease is a complicated disease because of the connection it creates between humans and mosquitoes. This encouraged scientists to understand the various factors that influence the recurrence of dengue fever. A new technique called the Laplace Optimized Decomposition (LODM) is used to solve this model numerically and compared with the 4 th order Runge-Kutta Method (RKM). The solution in the proposed method is in the form of a convergent series with easily computable components. We present the solution via graphs and hence give some remarks about the nature of the solutions.

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“…Mathematical models are formed and analyzed, in order to be representative of the problems discussed (Side et al, 2016). Research on mathematical modeling of SEIRS, SIRS on COVID-19 disease transmission has been carried out by (Abdy et al, 2021;Annas et al, 2020;Singhal, 2020;Yang and Wang, 2020), then in typhoid (Nurhaeda et al, 2021); the SEIAS-SEI model of malaria transmission (Maryam et al, 2021); SEIRS model on Rubella (Asri et al, 2021); SEIRI Model in Hepatitis B (Side et al, 2021); SIRS model in dengue fever (Sanusi et al, 2021); but focus on disease transmission. The SEIRS mathematical model for social problems has been carried out by (Anwar et al, 2021) but focusing on the problem of online game addiction, no one has yet modeled on the problem of poverty as a result of the Covid-19 pandemic.…”

Section: A Introductionmentioning

confidence: 99%

Using SAPR Model for Solution of Social Poverty Problem Due to Covid-19 in Makassar City

Annas

Side

Pandjajangi

et al. 2021

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This study aims to build an SAPR model on the problem of poverty, analyze the model, predict the number of poverty rates in the city of Makassar, and determine the parameters that affect the decrease in the number of poverty rates due to Covid-19 in the city of Makassar. This research is quantitative. The population of this study is the number of people in Makassar City who are affected by the spread of COVID-19, while the sample of this study is 400 people. The research stages are: Building the SAPR model on the level of social poverty, determining and analyzing the stability of the equilibrium point, determining the value of the basic reproduction number (R0), conducting model simulations using Maple. The results shown that the mathematical model of SAPR which is a non-linear system of differential equations can be a reference model for the problem of poverty; The results also shown that the analysis of the social poverty level of the population finds two equilibrium points, namely the free equilibrium point for the poor and the poor; the stability of the equilibrium point is free-poor and poor; The basic reproduction number R0 = 0.426 indicates that the poverty level of the social population can be controlled even though it has increased. Based on the model simulation, it was found that the parameter in the form of business funding assistance from the government could reduce the poverty rate due to the Covid-19 pandemic in Makassar city.

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Numerical Solution of SIRS model for Dengue Fever Transmission in Makassar Citywith Runge Kutta Method

Cited by 7 publications

References 5 publications

Simulasi Pemodelan Matematika Seir Terhadap Pengaruh Sanitasi Pada Kasus Stunting Di Indonesia

Simulasi Pemodelan Matematika Seir Terhadap Pengaruh Sanitasi Pada Kasus Stunting Di Indonesia

Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method

Using SAPR Model for Solution of Social Poverty Problem Due to Covid-19 in Makassar City

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