Author(s)

Xuanyu Lu, Xing Gao

Corresponding Author

Xuanyu Lu

Abstract

When forests are cleared for agriculture, the transition creates significant ecological challenges. This paper addresses these challenges by developing a dynamic differential equation model to monitor forest-to-farmland transitions and analyze both natural and anthropogenic impacts on ecosystem evolution. Our model examines food web relationships, producer-consumer interactions, abiotic factors, and the effects of agricultural chemicals. Simulation results demonstrate that species populations initially fluctuate with chemical usage but eventually stabilize. We incorporate seasonal variations and agricultural cycles, revealing their significant influence on population dynamics. Our findings show that introducing predator species like bats optimizes ecosystem structure, and reducing chemical usage enhances biodiversity while maintaining crop health. Based on these results, we propose policy incentives and practical farming strategies to balance economic benefits with ecological sustainability. This research provides a quantitative foundation for developing sustainable agricultural practices that preserve ecosystem integrity during the transition from forests to farmland, offering a pathway toward more resilient and environmentally sound food production systems.

Keywords

Agricultural Ecosystem, Dynamic Differential Equation Model, Optimization Algorithm, Ecological Balance, Sustainable Agriculture