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All Journal MAJAMATH: Jurnal Matematika dan Pendidikan Matematika
Mita Akbar Sukmarini
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Education Mathematics

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Analisis Dinamik dan Kestabilan Model PDRB Berbasis Persamaan Diferensial dengan Pengaruh Faktor Iklim di Kota Palangka Raya Robiatul Witari Wilda; Mega Yumia; Mita Akbar Sukmarini; Adina Apriyani; Febrianto Afli
MAJAMATH: Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 2 (2026): Vol. 9 No. 2 September 2026
Publisher : Prodi Pendidikan matematika Universitas Islam Majapahit (UNIM), Mojokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36815/majamath.v9i2.4820

Abstract

This study aims to model the dynamic interaction between Gross Regional Domestic Product (GRDP) and environmental conditions in Palangka Raya using a system of differential equations. The proposed model incorporates logistic growth of GRDP influenced by environmental factors, while the environmental variable is affected by climate components such as rainfall, number of rainy days, and solar radiation. Model parameters are estimated using a data fitting approach by minimizing the sum of squared errors between observed data and simulation results. Numerical simulations are carried out using a fourth-order Runge–Kutta method implemented in Python. The estimated parameters are consistent with the model assumptions and provide meaningful interpretations from both economic and environmental perspectives. Stability analysis indicates that the system possesses a non-trivial equilibrium point that is asymptotically stable. Simulation results show that GRDP grows rapidly in the early stage and gradually approaches a stable equilibrium value, while the environmental variable converges to a steady state. The equilibrium level of GRDP can exceed its baseline capacity, indicating that environmental factors contribute to enhancing the effective economic capacity. Overall, the model is able to capture the long-term behavior of the economic–environmental system and provides insights into the role of environmental factors in regional economic growth.
Co-Authors Adina Apriyani Febrianto Afli Mega Yumia Wilda, Robiatul Witari