Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 2


Published
on

December 30, 2021


Pages

371-378


DOI

Article

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

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Authors

Yanfen Li Affiliation:
School of Chemical and Environmental Engineering, Jiaozuo University, Jiaozuo, 454000, China


Abstract

Water is a key factor that controls the evolution of the ecosystem and restricts social and economic development. The rational allocation of water resources is the basis for the basin's sustainable use of water resources. The article uses fractional differential equations to discuss the increasingly prominent contradictions between supply and demand of agricultural water resources, serious pollution and overexploitation, the decline in groundwater level and water quality, low agricultural water efficiency, and serious waste from the perspective of sustainable development. Second, the article classifies the index system of the water resources carrying capacity evaluation model. Finally, model the resource balance of water supply and water demand in the irrigation area. The study found that the water quantity analysis and determination of the irrigation area will have important guiding significance for implementing the irrigation area's continued construction and water-saving transformation. The allocation and utilization of water resources in farmland irrigation areas will tend to be rationalized. This will greatly improve the water-saving efficiency of irrigation districts.


Keywords

fractional differential equation, available water, water demand, agricultural water use, water resources balance, 39A10


Citation

Li, Y. (2021). Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations. Applied Mathematics and Nonlinear Sciences, 6(2), 371–378. https://doi.org/10.2478/amns.2021.2.00156

Published by: Engineering Journals

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