Dynamic modeling of pollution control in industrial areas through reforestation strategies
摘要
Industrial regions are often plagued with elevated pollution levels, posing severe risks to environmental health and human well-being. Addressing this challenge, reforestation emerges as a viable strategy to mitigate pollution by restoring forest biomass and improving ecological resilience. This study focuses on the control of pollutants in industrial regions through reforestation and examines the associated challenges and dynamics. The study presents a five-dimensional nonlinear mathematical model to analyze the interactions between human population density, forest biomass density, industrialization, concentration of pollutants, and reforestation. The study reveals that increasing industrialization and pollution levels lead to a decline in both forest biomass and human population density, highlighting the environmental and health risks associated with uncontrolled industrial expansion. To further refine the model predictions, sensitivity analysis is performed, identifying critical parameters influencing system behavior, such as industrial growth rate, pollution absorption capacity, effect of industrialization on forestry biomass and reforestation effectiveness. Optimal control analysis demonstrates that strategic reforestation efforts can significantly reduce cumulative concentration of pollutants, restore forest biomass, and promote ecological balance. These findings underscore the necessity of integrating reforestation into environmental policies to mitigate industrial pollution and ensure sustainable development.