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"Water Purification Mathematics."
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Mathematics for water and wastewater treatment plant operators
\"A comprehensive, self-contained mathematics reference, The Mathematics Manual for Water and Wastewater Treatment Plant Operators will be useful to operators of all levels of expertise and experience. The text is divided into three parts. Part 1 covers basic math, Part 2 covers applied math concepts, and Part 3 presents a comprehensive workbook with more than 1700 sample problems highlighting the kinds of exam questions operators can expect to see on state licensure examinations. Readers working through the book systematically will acquire a definitive understanding of and skill in performing the applied water/wastewater calculations that are essential for a successful career\"-- Provided by publisher.
Book
Chemical Feed Field Guide for Treatment Plant Operators - Calculations and Systems
This pocket field guide, intended for drinking water system operating personnel, explains dry, liquid, and gas chemical feed systems, calibrations, and handling and storage requirements for various types of chemicals used in water treatment. Handy feed calculators for gas, liquid, and dry chemicals are included. Useful tables and easy-to-follow illustrations help system operators perform the chemical feed procedures described in the references.
eBook
Optimal Control of Aquatic Diseases: A Case Study of Yemen’s Cholera Outbreak
We propose a mathematical model for the transmission dynamics of some strains of the bacterium Vibrio cholerae, responsible for the cholera disease in humans. We prove that, when the basic reproduction number is equal to one, a transcritical bifurcation occurs for which the endemic equilibrium emanates from the disease-free point. A control function is introduced into the model, representing the distribution of chlorine water tablets for water purification. An optimal control problem is then proposed and analyzed, where the goal is to determine the fraction of susceptible individuals who should have access to chlorine water tablets in order to minimize the total number of new infections plus the total cost associated with the distribution of chlorine water tablets, over the considered period of time. Finally, we consider real data of the cholera outbreak in Yemen, from April 27, 2017 to April 15, 2018, choosing the values of the parameters of the uncontrolled model that fit the real data. Using our optimal control results, we show, numerically, that the distribution of chlorine water tablets could have stopped, in a fast way, the worst cholera outbreak that ever occurred in human history. Due to the critical situation of Yemen, we also simulate the case where only a small percentage of susceptible individuals has access to chlorine water tablets and obtain an optimal control solution that decreases, substantially, the maximum number of infective individuals affected by the outbreak.
Journal Article