MAJAMATH: Jurnal Matematika dan Pendidikan Matematika
Vol. 9 No. 2 (2026): Vol. 9 No. 2 September 2026

Analisis Dinamik dan Kestabilan Model PDRB Berbasis Persamaan Diferensial dengan Pengaruh Faktor Iklim di Kota Palangka Raya

Robiatul Witari Wilda (Universitas Palangka Raya)
Mega Yumia (Universitas Palangka Raya)
Mita Akbar Sukmarini (Unknown)
Adina Apriyani (Unknown)
Febrianto Afli (Unknown)



Article Info

Publish Date
28 Aug 2026

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.

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Journal Info

Abbrev

majamath

Publisher

Subject

Education Mathematics

Description

Majamath: Jurnal Matematika dan Pendidikan Matematika memuat kajian-kajian ilmiah tentang matematika dan pendidikan matematika antara lain pembelajaran matematika, matematika terapan , teknologi pembelajaran dan matematika murni, dalam bentuk: 1) Hasil penelitian, 2) Gagasan konseptual, 3) Kajian ...