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On the Interaction between Trichogramma chilonis and Jatiroto Flies with Stem Borer Pests in Sugarcane Plantation Fauzi, Rifky; Mufidah, Zunanik; Maretta, Gres; Edriani, Tiara Shofi; Rizka, Nela; Mukhaiyar, Utriweni; Utami, Riani; Haryani, Sri; Saefudin, Saefudin; Styaningrum, Amalia; Soewono, Edy
Journal of Mathematical and Fundamental Sciences Vol. 56 No. 3 (2024)
Publisher : Directorate for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2024.56.3.3

Abstract

Pests in sugarcane plantations are a major cause of damage, which could lead to severe damage to the crop, reduction of sugar quality, and significant economic loss. One of the major pests known in sugarcane plantations is stem borer (Chilo sacchriphagus), which attacks the canes. Two primary parasitoids, Trichogramma chilonis, which predates the stem borer eggs, and the Jatiroto fly (Diatraeophaga striatalis), which predates the stem borer larvae, are discussed here. This paper presents a time-dependent ten-dimensional dynamical mathematical model consisting of four-stage stem borer compartments, three-stage Trichogramma compartments, and three-stage Jatiroto compartments. Simulations are presented to describe the phenomenon of Trichogramma predation, Jatiroto predation, and simultaneous predation of both predators. It is shown that the release rate of each predator and a combined release of two predators can significantly reduce the infestation levels to a tolerable level for sugarcane production. The oscillatory dynamics of the stem borers and the Jatiroto flies affected the release timing strategy based on the level of infestation in the field. The results are expected to help us better understand the predator-prey phenomenon in the field and improve the forecasting of infestations in the field.
Raw Material Inventory Control Using The Period Order Quantity (POQ) Method to Reduce Stockout and Overstock Risks Nasution, Achmad Suryadi; Simbolon, Okto Bryan; Muliawati, Triyana; Edriani, Tiara Shofi; Noor, Dear Michiko Mutiara; Fauzi, Rifky
Vygotsky: Jurnal Pendidikan Matematika dan Matematika Vol. 7 No. 2 (2025): Vygotsky: Jurnal Pendidikan Matematika dan Matematika
Publisher : Universitas Islam Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30736/voj.v7i2.1163

Abstract

The rapid growth of coffee shops in Lampung has increased demand for Robusta Lampung, Arabica Kerinci, and Arabica Aceh Gayo, causing stockouts and overstocking at a coffee roastery. This study uses the Period Order Quantity (POQ) method to optimize inventory by ordering based on predictable demand periods, reducing order frequency and costs. Using demand data from the last six months of the year, POQ outperforms the manual inventory policy. Assuming a 5% holding cost and 90%–99% service levels (ensuring product availability), POQ reduces costs by 0.119%–0.163%, boosting profitability. Adopting POQ with real-time demand tracking can balance inventory and meet rising demand.
Analisis Hubungan Kepadatan Penduduk dengan Pola Penyebaran COVID-19 Provinsi DKI Jakarta menggunakan Regresi Robust Edriani, Tiara Shofi; Rahmadani, Anisa; Noor, Dear Michiko Mutiara
Indonesian Journal of Applied Mathematics Vol. 1 No. 2 (2021): Indonesian Journal of Applied Mathematics Vol. 1 No. 2 April Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v1i2.353

Abstract

COVID-19 pandemic have been spread around the world since the first outbreak on Desember 2019 in Wuhan, China. DKI Jakarta as one of the highest population density among 34 provinces in Indonesia, has become an endemic area of COVID-19 with the rate of new cases show some fluctuation for each month along 2020. This is a secondary data research which drawn from Health Ministry of Indonesia as well as Center of Statistics for DKI Jakarta. Focus and the scope of this paper is on analyzing the relation between new cases of COVID-19 with population density of Jakarta’s districts. Descriptive and inferential analysis that combined with Robust Regression Test are conducted due to some outliers data. This unbiased method shows a good regression model of spreading new positive cases. M-Estimator Robust Regression with Tukey Bisquare function, shows the best result with the least Residual Standar Error (RSE), that is 0.411. Analysis on statistical test for the chosen model shows that population density has significant impacts on outbreak pattern of COVID-19 in Jakarta. But mobilities and interactions betweeen citizens has also give a great impact.