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All Journal Jurnal Penelitian Pendidikan IPA (JPPIPA) Jambura Journal of Mathematics Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi
Handayani, Rizka Putri
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Computer Science & IT Education Materials Science & Nanotechnology Mathematics Physics

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Stability Analysis and Numerical Simulation of Prey-Mesopredator-Apex Predator Dynamic Model with Supplementary Food for Apex Predator Resmawan, Resmawan; Handayani, Rizka Putri; Rosydah, Binti Mualifatul; Qur'ani, Fahma Mu'jizatil
Jambura Journal of Mathematics Vol 7, No 2: August 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i2.31345

Abstract

This study formulates and mathematically analyzes a three-species dynamic model involving prey, mesopredator, and apex predator, considering the presence of supplementary food available only to the apex predator. The model is expressed as a three-dimensional nonlinear differential equation system and analyzed by proving the existence and uniqueness of solutions, positivity, and solution limitations to ensure mathematical validity in the biological domain. Furthermore, we study the local stability of the six equilibrium points of the system using the eigenvalue approach and the Routh-Hurwitz criterion. We perform numerical simulations and find that the stability of the system is highly sensitive to the parameters of predation efficiency and the capacity to utilize additional food. In addition, species extinction, dominance, or long-term coexistence also occur. The model shows how the relationships between different species and the support from external energy sources can change the community structure and affect whether predator species survive.
Komparasi Skema Numerik Euler, Runge-Kutta dan Adam-Basforth-Moulton untuk Menyelesaikan Solusi Persamaan Osilator Harmonik Resmawan, Resmawan; Rosydah, Binti Mualifatul; Handayani, Rizka Putri
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 2 December 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v11i2.22420

Abstract

This article discusses the comparison of different numerical schemes to visualize the solution of 2nd-order differential equations. One-step methods such as the Euler method and the 4th-order Runge-Kutta method are combined with the 3rd-order Adam-Bashforth-Moulton method to solve the solution of 2nd-order differential equations. This combination of methods solves the Harmonic Oscillator equation, an 2nd-order differential equation widely applied in various oscillation contexts. The order of accuracy and order of approximation error are determined analytically. Finally, simulations are given with different steps for the three methods to confirm the behavior of the solution to the Harmonic Oscillator equation. The results show that the Euler method with the lowest order of accuracy has good accuracy at the beginning of the oscillation but not when time t is increased. The Runge-Kutta method, with the highest order of accuracy, shows excellent and consistent accuracy and solution stability, while the Adam-Bashforth-Moulton method, although it has a lower accuracy than the Runge-Kutta method of order 4, can be improved by choosing a one-step method with a high order of accuracy to approximate some of the required initial solutions. All three methods can provide approximation values with excellent accuracy and stability if a small step, h, is chosen, but this step can increase the time duration to display the solution. Thus, it is necessary to choose the right h according to the context of the equation and the method used to obtain accurate solutions with optimal time duration.
A Dampak Model Learning Cycle Terhadap Pemahaman Konsep Momentum dan Impuls Handayani, Rizka Putri; Halim, Abdul; Ngadimin; Hamid, Abdul; Herliana, Fitria
Jurnal Penelitian Pendidikan IPA Vol 10 No 5 (2024): May
Publisher : Postgraduate, University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jppipa.v10i5.5031

Abstract

This study aims to determine the impact of the Cycle Learning model toward understanding the concept of momentum and impulse. The study used a quantitative approach, quasi-experimental methods and a non-equivalent pretest-posttest control group design in two classes of high school students as the research sample. Data collection was carried out using a physics concept understanding test (PCUT) and data analysis using the t-test at a significance level of 0.05 to find out the difference between the control class and the experimental class. The results of the data analysis show that: The Learning Cycle 7e model has an effect on increasing understanding of concepts. The 7E Learning Cycle model is better than conventional techniques from the aspect of increasing understanding of concepts. The level of conceptual understanding through the Learning Cycle 7e model is obtained by the level of complete understanding (LCU), while conventional techniques are only obtained by the level of partial understanding (LPU). The application of the Learning Cycle 7e learning model in learning is proven to be able to influence students' conceptual understanding skills for the better.
Co-Authors A Halim Abdul Hamid Binti Mualifatul Rosydah, Binti Mualifatul Herliana, Fitria Ngadimin Qur'ani, Fahma Mu'jizatil Resmawan Resmawan