Article Per Year (5 Year)
p-Index From 2021 - 2026
0.61
P-Index
This Author published in this journals
All Journal JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Abdi Masyarakat Indonesia
Puspitasari, Nurmaini
Unknown Affiliation
Humanities Economics, Econometrics & Finance Education Engineering Mathematics Public Health

Published : 3 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 3 Documents
Search

 1 
Dynamic Analysis of the Symbiotic Model of Commensalism and Parasitism with Harvesting in Commensal Populations Puspitasari, Nurmaini; Kusumawinahyu, Wuryansari Muharini; Trisilowati, Trisilowati
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 1 (2021): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i1.3893

Abstract

This article discussed about a dynamic analysis of the symbiotic model of commensalism and parasitism with harvesting in the commensal population. This model is obtained from a modification of the symbiosis commensalism model. This modification is by adding a new population, namely the parasite population. Furthermore, it will be investigated that the three populations can coexist. The analysis carried out includes the determination of all equilibrium points along with their existence and local stability along with their stability requirements. From this model, it is obtained eight equilibrium points, namely three population extinction points, two population extinction points, one population extinction point and three extinction points can coexist. Of the eight points, only two points are asymptotically stable if they meet certain conditions. Next, a numerical simulation will be performed to illustrate the model’s behavior. In this article, a numerical simulation was carried out using the RK-4 method. The simulation results obtained support the results of the dynamic analysis that has been done previously.
Dynamical Analysis of the Symbiotic Model of Commensalism in Four Populations with Michaelis-Menten type Harvesting in the First Commensal Population Puspitasari, Nurmaini; Kusumawinahyu, Wuryansari Muharini; Trisilowati, Trisilowati
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 5, No 2 (2021): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v5i2.4727

Abstract

This study discusses the dynamical analysis of the symbiosis commensalism and parasitism models in four populations with Michaelis-Menten type harvesting in the first commensal population. This model is formed from a construction of the symbiotic model of commensalism and parasitism by harvesting the commensal population. This construction is by adding a new population, namely the second commensal population. Furthermore, it will be investigated that the four populations can coexist. The first analysis is to identify the conditions of existence at all equilibrium points along with the conditions for their existence and local stability around the equilibrium point along with the stability requirements. From this model, it is obtained sixteen points of equilibrium, namely one point of extinction in the four populations, four points of extinction in all three populations, six points of extinction in both populations, four points of extinction in one population and one point where the four populations can coexist. Of the sixteen points, only four points can be asymptotically stable if they meet the stability conditions that have been determined. Finally, a numerical simulation is performed to describe the model behavior. In this study, the method used in numerical simulation is the RK-4 method. The numerical simulation results that have been obtained support the dynamical analysis results that have been carried out previously.
Pemberdayaan Siswa SMPN 12 Banjarbaru melalui Pelatihan Matematika Kontekstual Berbasis Realistic Mathematics Education Karim, Muhammad Ahsar; Thresye, Thresye; Yulida, Yuni; Faisal, Faisal; Balya, Muhammad Afief; Jannah, Nur Wahidiyatil; Puspitasari, Nurmaini; Wakhdah, Noorul; Shofa, Ghaitsa Zahira; Amaliya, Tiara
Jurnal Abdi Masyarakat Indonesia Vol 6 No 2 (2026): JAMSI - Maret 2026
Publisher : CV Firmos

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.54082/jamsi.2589

Abstract

Kegiatan pengabdian kepada masyarakat ini dilatarbelakangi oleh rendahnya keterlibatan aktif dan kurangnya kemampuan siswa SMPN 12 Banjarbaru dalam mengaitkan konsep matematika dengan konteks kehidupan sehari-hari. Kondisi tersebut berdampak pada terbatasnya pemahaman bermakna dan motivasi belajar siswa. Untuk menjawab permasalahan tersebut, dilaksanakan program pelatihan dan pendampingan matematika kontekstual berbasis Realistic Mathematics Education yang dirancang secara partisipatif dan interaktif. Kegiatan meliputi identifikasi kebutuhan mitra, pelatihan eksploratif, praktik kontekstual, diskusi reflektif, serta pendampingan selama proses belajar. Hasil pelaksanaan menunjukkan adanya perubahan positif dalam partisipasi siswa, keberanian mengemukakan ide, serta kemampuan mengaitkan konsep matematika dengan pengalaman nyata. Selain peningkatan pemahaman, kegiatan ini mendorong tumbuhnya motivasi dan kepercayaan diri siswa dalam pembelajaran matematika. Program ini menunjukkan bahwa pendekatan pelatihan kontekstual berbasis pemberdayaan mampu mentransformasi pengalaman belajar siswa secara lebih bermakna.
Co-Authors Amaliya, Tiara Balya, Muhammad Afief Faisal Faisal Jannah, Nur Wahidiyatil Muhammad Ahsar Karim Shofa, Ghaitsa Zahira Thresye Thresye Trisilowati Trisilowati, Trisilowati Wakhdah, Noorul Wuryasari Muharini Kusumawinahyu Yuni Yulida