Modeling Escherichia Coli Dynamics in Multi-Stage Wastewater Treatment Systems

Authors

Julia Wanjiku Karunditu

Department of Pure and Applied Sciences, Kirinyaga University, 10300 – Kerugoya (Kenya)

Cyrus Gitonga Ngari

Department of Pure and Applied Sciences, Kirinyaga University, 10300 – Kerugoya (Kenya)

Peter Njori Wanjohi

Department of Pure and Applied Sciences, Kirinyaga University, 10300 – Kerugoya (Kenya)

Jeremiah Savali Kilonzi

Department of Mathematics, School of Pure and Applied Sciences, Meru University of Science and Technology, Meru (Kenya)

Article Information

DOI: 10.51584/IJRIAS.2026.11010083

Subject Category: Mathematics

Volume/Issue: 11/1 | Page No: 977-985

Publication Timeline

Submitted: 2026-01-17

Accepted: 2026-01-24

Published: 2026-02-11

Abstract

Sustainable Development Goal 6 on clean water and sanitation is threatened by Escherichia coli (E. coli) contamination in wastewater, which poses grave dangers to the environment and public health. Microbial and chemical contaminants are present in wastewater from various sources, and treatment difficulties are growing due to urbanization. While biofilm formation, disinfectant resistance, and particle attachment increase bacterial survival, pathogenic E. coli strains can cause serious illness. To explain the dynamics of E. coli in wastewater systems, this study develops a deterministic mathematical model. MATLAB solvers and uncertainty and sensitivity techniques based on Latin hypercube sampling and partial rank correlation coefficients are used to analyze the model. The findings promote more effective wastewater treatment and microbial risk management by identifying key drivers of persistence.

Keywords

Modeling, Escherichia, Coli Dynamics, Multi-Stage, Wastewater, Treatment Systems

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