Mathematical Modeling and Analysis of Cholera Control Strategies in Resource-Limited Regions Adebayo,

Abstract

Cholera, a major public health concern caused by the Vibrio cholerae bacterium, remains a pressing issue in remote regions of Nigeria, particularly during the dry season when access to clean and treated water is scarce. We seeks to develop a robust model to better understand the rapid transmission of cholera in these areas and assess the effectiveness of various intervention
strategies, including public health education, antibiotic treatments, improved water treatment practices, and enhanced environmental sanitation. This addresses the existence and uniqueness of the model, its positivity and boundedness properties, and calculates the basic reproduction number, ( ) 0 R , which serves as a critical threshold for disease dynamics. Specifically, when ( 1) 0 R  , the
disease spread will diminish over time, while ( 1) 0 R  indicates sustained transmission. Both local and global stability analyses of the model were conducted, alongside a sensitivity analysis to identify key parameters influencing disease control. Furthermore, numerical simulations utilizing the homotopy perturbation method were employed to evaluate the specific contributions of control
measures in reducing cholera transmission. The findings offer critical insights into designing effective interventions, particularly by enhancing access to safe water and implementing targeted public health strategies, to curb cholera outbreaks in resource-limited settings.