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All Journal Desimal: Jurnal Matematika
Ole, Yesaya Putra Dappa
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Education Mathematics Social Sciences

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A predator-prey model of rice plant, sparrow, rat, and snake Swastika, Putu Veri; Pahlevi, Ilyasa; Ramdhani, Novrizal; Ole, Yesaya Putra Dappa; Fakhruddin, Muhammad
Desimal: Jurnal Matematika Vol. 6 No. 1 (2023): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v6i1.16564

Abstract

Rice is one of the most widely consumed food sources in Indonesia. The success of the rice harvest can be influenced by several factors, one of which is plant pests. This can threaten national food security. Predator-prey mathematical model can be constructed to explain the relationship between rice plants with plant pests. The predator prey model consist of ODE system describing 2 predators level one (rats and sparrows), 1 predator level two (snake) and prey (rice plants). In this model, nine equilibrium points are obtained with analysis of the behavior of the model at each of its equilibrium points. We successfully simulated the model using hypothetical parameters and the results are agrees with the analysis behavior. Several factors will make plant pest populations decrease even lost from the population is the natural death and interaction of rice with plant pests
Estimating dredging volume at sunda pondok dayung dock using s-convex function-based curve fitting to ensure indonesian navy ship safety Ole, Yesaya Putra Dappa; Al Hazmy, Sofihara; Harist, Jiyaad Muhamad; Abdurrazzaq, Achmad
Desimal: Jurnal Matematika Vol. 8 No. 1 (2025): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v8i1.26624

Abstract

This study investigated the application of s-convex function-based curve fitting for estimating the dredging volume at Sunda Pondok Dayung Dock to ensure the safety of Indonesian Navy vessels. The research aimed to develop an alternative method to conventional numerical integration techniques by employing s-convex curve fitting using both two-point and three-point approaches and by comparing its performance with the trapezoidal rule, Simpson’s 1/3 rule, and Simpson’s 3/8 rule. Data from Pushidrosal’s 2023 survey were utilized, and explicit analytical forms for definite integral estimation were derived by approximating the function with s-convex methods. The results demonstrated that although the trapezoidal method produced the smallest relative error, the s-convex approach yielded a comparable error margin, differing by only 0.038%, which indicated its viability as an alternative method for dredging volume estimation. Future research was suggested to extend s-convex curve fitting to more than three points to further improve accuracy.
Co-Authors Abdurrazzaq, Achmad Harist, Jiyaad Muhamad Pahlevi, Ilyasa Ramdhani, Novrizal Swastika, Putu Veri Syamsiar, Syamsiar