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All Journal MATHunesa: Jurnal Ilmiah Matematika Journal of Computer Science Contributions (Jucosco)
Waldhani, Gesti Essa
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Computer Science & IT Mathematics

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BIFURKASI HOPF PADA MODEL DINAMIK S-I-P DENGAN PENYAKIT PADA POPULASI PREY DAN FUNGSI RESPON HOLLING TYPE II DENGAN PEMANENAN PADA PREY Waldhani, Gesti Essa; Chalimatusadiah, Chalimatusadiah
MATHunesa: Jurnal Ilmiah Matematika Vol. 12 No. 3 (2024)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v12n3.p475-485

Abstract

In this paper, a dynamic S-I-P model with disease in the prey population and Holling type II functional response with harvesting in prey and time-delay were discussed. Model analysis is carried out by determining fixed points, then analyzing the stability of the fixed points and discussing the existence of the Hopf bifurcation. Another modification given to the model is the use of time delays. Delay time is the time needed for a predator to hunt its prey. The first case is a model without time delay, it is obtained that 2 fixed points are unstable and 2 fixed points are stable. One of them is the interior fixed point tested with the Routh-Hurwitz criteria. The second case is a model with a delay time, the critical delay value is obained. Hopf bifurcation occurs when the delay time value is equal to the critical delay value and also fulfills the transversality condition. Observations on the model simulation are carried out by varying the value of the delay time. When the Hopf bifurcation occurs, the graph on the solution plane shows a constant oscillatory movement. If the value of the delay time given is less than the critical value of the delay, the controlled system solution goes to a balanced state. Then when the delay time value is greater than the critical delay value, the system solution continues to fluctuate causing an unstable system condition.
ANALISIS KESTABILAN PADA MODEL FITO-ZOOPLANKTON DENGAN WAKTU TUNDA PADA ZOOPLANKTON DI KOLAM STABILISASI LIMBAH WALDHANI, GESTI ESSA
MATHunesa: Jurnal Ilmiah Matematika Vol. 13 No. 2 (2025)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

In this paper, we discuss the predator-prey model using Holling type II functional response with the time delay in facultative stabilization pond. In this research, we discuss the predator-prey model using Holling type II functional response with the time delay, determining the equilibrium point, the stability analysis of predator-prey model using Holling type II functional response with the time delay and numerical simulation of the predator-prey model using Holling type II functional response with the time delay. The method used to analyse the problem is by literature study. The steps used are the development of a mathematical model of change of dissolved oxygen concentration, phytoplankton and zooplankton, mathematical equation solving algorithm, field data, simulation using Maple and Mathematica 9 software and validation with research.
Pelatihan Microsoft Powerpoint bagi Pengurus dan Staf Pengajar TPQ Nurul Jihad Tanjung Priuk Waldhani, Gesti Essa; Ningsih, Rahayu; Rahmatullah, Beni; Saputra, Suwanda Aditya
Journal Of Computer Science Contributions (JUCOSCO) Vol. 3 No. 1 (2023): Januari 2023
Publisher : Lembaga Penelitian, Pengabdian kepada Masyarakat dan Publikasi Universitas Bhayangkara Jakarta Raya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31599/qv9ztz94

Abstract

In the current era, almost all learning requires the use of computer applications. Technological developments, especially computer applications, are currently helping in the manufacture of teaching materials, so that learning can generate new motivation and interest in students. One of them is making teaching materials at TPQ Nurul Jihad which requires supporting applications so that the displayed learning can be understood because currently some of the teaching materials displayed are still using conventional methods, using applications Microsoft Powerpoint in making TPQ teaching materials it is still not maximally used because some TPQ educators still don't understand the use of the applications used, so the service team make training Microsoft Powerpoint. This is intended so that educators are more familiar with the use of the application Microsoft Powerpoint for presentation purposes. The method used in providing education about the use Microsoft Powerpoint is a lecture to provide an explanation of theory and simulation, questions and answers as well as evaluation tests for practical methods. The results of this community service stated that the beginning of the teacher meeting had several obstacles in moving and changing sizes text box as well as shape because they are not used to using the laptop keypad. However, after being guided by the service team, these obstacles were minimized until finally the educators were able to work with text and shape. So, it can be said that this service goes according to the target of the service team.
Co-Authors Beni Rahmatullah Chalimatusadiah, Chalimatusadiah Rahayu Ningsih Suwanda Aditya Saputra