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All Journal Journal of Mathematics: Theory and Applications Journal of Mathematics, Computation and Statistics (JMATHCOS)
Renggawati, Rini
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Mathematics

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Analisis Kestabilan Model Penyebaran Penyakit Antraks pada Populasi Ternak dengan Transmisi Tak Langsung dan Penggunaan Desinfektan Nur, Wahyudin; Renggawati, Rini; Dayasin; Nurfasilah; Alam, Syaherna; Yanti, Rista; Darmawati
Journal of Mathematics: Theory and Applications Vol 6 No 2 (2024)
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i2.3799

Abstract

Anthrax is an infectious disease caused by the bacterium Bacillus anthracis. This disease causes a fairly high mortality rate in livestock populations that can threaten food security in a region. Therefore, it is necessary to prevent and control its spread. This study aims to examine the model of the spread of anthrax disease in a livestock population by considering indirect transmission and the use of disinfectants. The constructed model is expressed as a system of ordinary differential equations. Dynamical analysis is carried out to identify the stability properties of the disease-free equilibrium point. The results of the dynamical analysis show that the disease-free equilibrium point is conditionally stable, namely when the basic reproduction number is less than one. In addition, the results of numerical experiments show that the use of disinfectants has a significant effect on the dynamics of the spread of anthrax disease, namely the higher the rate of bacterial death due to disinfectants, the fewer cases of anthrax. This study shows that the use of disinfectants can be an effective strategy to control the spread of anthrax disease in livestock populations.
Numerical Approach for Solving Fractional Integral Equations using Fixed-point Iterative Scheme Ansar, Ahmad; Fatimah, Meryta Febrilian; Renggawati, Rini
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6859

Abstract

This paper is aimed to solve fractional integral equations using fixed point iterative approach. We used D-plus iteration process with nonexpansive mapping in uniformly convex Banach spaces. We start by prove weak and strong convergence theorems related for nonexpansive mapping and compare convergence rate of some iterative scheme through numerical example. Furthermore, we use this method to prove the existence and estimate the solution of fractional integral equations. The D-plus iterative method shows the good performance in solve fractional integral equations. We also give some example to illustrate main results.
Co-Authors Ahmad Ansar Alam, Syaherna Darmawati Dayasin Meryta Febrilian Fatimah, Meryta Febrilian Nur, Wahyudin Nurfasilah Yanti, Rista