Stability analysis of land use change dynamic system in highland area development

Kartono; R. Heri Soelistyo Utomo; Moch. Fandi Ansori

doi:10.29333/ejosdr/17277

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Kartono ¹ ^* , R. Heri Soelistyo Utomo ¹ , Moch. Fandi Ansori ¹

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¹ Department of Mathematics, Faculty of Science and Mathematics, Diponegoro University, Semarang, INDONESIA^* Corresponding Author

Abstract

The disruption of ecological balance is the most significant challenge to sustainable development in highland areas. In particular, the downstream region is highly vulnerable to hydrometeorological disasters. Therefore, this study aimed to develop the dynamic system capable of simulating land use change to assess the environmental impacts of development activities. The system was constructed in the form of a first-order linear differential equation model based on a land class conversion compartment scheme. Additionally, the dynamic system had more than one equilibrium point, and its stability depended on the eigenvalue. The simulation results from the parameter change showed that ecological stability occurred when the conversion rate of dry land to forest was not equal to zero. This outcome suggested that reforestation was a key effort in managing sustainable highland areas. Mathematically, dynamic system modelling can be used as a new approach to study land use changes in regional development activities.

Keywords

Eigenvalue
equilibrium
hydrometeorology
sustainable development
reforestation

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EUR J SUSTAIN DEV RES, Volume 10, Issue 1, 2026, Article No: em0340

https://doi.org/10.29333/ejosdr/17277

Publication date: 01 Jan 2026

Online publication date: 14 Oct 2025

Article Views: 15

Article Downloads: 11

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How to cite this article

APA

Kartono, Utomo, R. H. S., & Ansori, M. F. (2026). Stability analysis of land use change dynamic system in highland area development. European Journal of Sustainable Development Research, 10(1), em0340. https://doi.org/10.29333/ejosdr/17277

Vancouver

Kartono, Utomo RHS, Ansori MF. Stability analysis of land use change dynamic system in highland area development. EUR J SUSTAIN DEV RES. 2026;10(1):em0340. https://doi.org/10.29333/ejosdr/17277

AMA

Kartono, Utomo RHS, Ansori MF. Stability analysis of land use change dynamic system in highland area development. EUR J SUSTAIN DEV RES. 2026;10(1), em0340. https://doi.org/10.29333/ejosdr/17277

Chicago

Kartono, R. Heri Soelistyo Utomo, and Moch. Fandi Ansori. "Stability analysis of land use change dynamic system in highland area development". European Journal of Sustainable Development Research 2026 10 no. 1 (2026): em0340. https://doi.org/10.29333/ejosdr/17277

Harvard

Kartono, Utomo, R. H. S., and Ansori, M. F. (2026). Stability analysis of land use change dynamic system in highland area development. European Journal of Sustainable Development Research, 10(1), em0340. https://doi.org/10.29333/ejosdr/17277

MLA

Kartono et al. "Stability analysis of land use change dynamic system in highland area development". European Journal of Sustainable Development Research, vol. 10, no. 1, 2026, em0340. https://doi.org/10.29333/ejosdr/17277