A Deterministic Mathematical Model for Forest Resources Conservation and Environmental Sustainability.

Effective forest conservation is essential to maintain ecological balance, environmental sustainability, and the sustainable resources use in the face of growing deforestation and ecosystem degradation. This study presents a deterministic mathematical model to analyze the forest biomass dynamics using three state variables – forestry biomass, burned forest area and intrinsic growth of forest biomass and four control variables- reforestation, Forest fire prevention, Deforestation, and Forest thinning. This model offers a structured approach for the management of forest resources by incorporating biological processes and human activities, through stability analysis of equilibrium points, this model identifies conditions under which forest resources can be sustainably managed and increased. The findings suggest that reforestation and timely thinning practices significantly contribute to long-term forest conservation, while effective forest fire prevention minimizes biomass loss. The model also reveals the critical thresholds of key parameters that determine the system’s behavior and ensure environmental sustainability. [ABSTRACT FROM AUTHOR]