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What are the mathematical model in soil pollution?

Fixed-point theorem

Environmental pollution

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Mathematical models are important tools for analyzing soil pollution. They help in understanding the complex processes involved and provide insights into the behavior of pollutants in soil. Several papers have proposed mathematical models for different aspects of soil pollution. Priya and Sabarmathi developed a non-linear and non-local Caputo fractal fractional operator model to study the effects of soil pollution on eco epidemic dynamics . López-Vizcaíno et al. highlighted the importance of mathematical models in analyzing the electrokinetic remediation process for soil treatment . Li et al. utilized kriging interpolation and established improved models to analyze the propagation characteristics and diffusion process of heavy metal pollutants in urban soil . Hoang et al. presented a mathematical model for simulating the spread of heavy metals in soil layers in municipal solid waste landfills . Rezaee et al. developed a theoretical and mathematical model for electrokinetic remediation of polluted soils, considering various transport phenomena and chemical reactions .

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Open access•Journal Article•DOI Mathematical Modeling and Sensitivity Analysis on Cadmium Transport in Kaolinite under Direct Current Electric Field Milad Rezaee, Mostafa Nasrollahi Gisel, Saman Saffari - Show less +2 more 10 Dec 2017-Civil Engineering Journal 6 Citations	The mathematical model in the paper is based on the implicit finite difference method and includes equations for ion migration, electroosmotic flow, diffusion, adsorption/desorption, precipitation/dissolution, water autoionization reaction, and electrolysis reaction.
Open access•Journal Article•DOI A novel mathematical modelling for simulating the spread of heavy metals in solid waste landfills Ngoc Ha Hoang, Anh My Chu, Kim Thai Thi Nguyen, Chi Hieu Le - Show less +3 more 26 Apr 2021-Environmental Engineering Research	The paper presents a novel mathematical modeling procedure and a Finite Element Method (FEM) based algorithm for simulating the spread of heavy metals in soil layers in municipal solid waste (MSW) landfills.
Open access•Journal Article•DOI Monitoring, Diffusion and Source Speculation Model of Urban Soil Pollution Zhichao Li, Wanchun Lu, Jilin Huang - Show less +2 more 23 Oct 2020 2 Citations	The paper discusses the use of kriging interpolation, an improved one-dimensional convective dispersion model, and an improved air subsidence model as mathematical models for analyzing and predicting soil pollution.
Open access•Journal Article•DOI Caputo Fractal Fractional Order Derivative of Soil Pollution Model Due to Industrial and Agrochemical Pankaj Priya, A. Sabarmathi - Show less +1 more 05 Sep 2022-International journal of applied and computational mathematics 1 Citations	The mathematical model in soil pollution is a non-linear and non-local Caputo fractal fractional operator of an eco epidemic model with five compartments.

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