Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA)
Vol 13 No 2 (2025): VOLUME 13 NO 2, 2025

Analysis of Catfish Production Growth Using Bernoulli’s Differential Equation

Mey Gracia Sitanggang (Unknown)
Tio Arini Pasaribu (Unknown)
Rawiyah (Unknown)
Maria Adesuryani Purba (Unknown)
Lahnida Sitinjak (Unknown)
Nasution , Hamidah (Unknown)



Article Info

Publish Date
26 Nov 2025

Abstract

Catfish (Clarias sp.) is one of the most widely cultivated aquaculture commodities in Indonesia, playing an important role in food security and local economic development. This study applies Bernoulli’s differential equation, which reduces to a logistic model, to evaluate catfish production in Indonesia from 2019 to 2025. Secondary data were obtained from the Ministry of Marine Affairs and Fisheries. Model parameters, including carrying capacity, intrinsic growth rate, and initial production, were estimated to fit the observed data. The results show that the logistic model effectively represents production trends between 2020 and 2024, with an average annual growth rate of approximately 4%. However, the model fails to capture the sharp decline observed in 2025, when actual production dropped by nearly 47%. This discrepancy indicates the presence of external non-linear factors, such as disease, environmental stress, or distribution disruptions, that were not included in the mathematical framework. Therefore, Bernoulli’s differential equation provides a useful baseline for analyzing production growth under normal conditions, while highlighting the need to integrate ecological and managerial considerations for more accurate long-term predictions.

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Journal Info

Abbrev

msa

Publisher

Subject

Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Environmental Science Mathematics Medicine & Pharmacology

Description

The Jurnal MSA (Jurnal Matematika dan Statistika serta Aplikasinya) is a brand new on-line anonymously peer-reviewed journal interested in any aspect related to mathematics and statistics with their application. The Jurnal MSA is ready to receive manuscripts on all aspects concerning any aspect ...