Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria
Abstract
Cholera remains a global health challenge, especially in regions with inadequate water and healthy sanitation scheme . This research investigates the effectiveness of booster vaccination and quarantine strategies in controlling cholera outbreaks using a mathematical model that incorporates key epidemiological factors such as infection rates, recovery rates and waning immunity. The model also integrates booster vaccination to prolong immunity and quarantine measures to reduce contact between susceptible and infected individuals. Qualitative analysis of the model in lieu of sensitivity testing, demonstrates that the combined use of booster vaccination and quarantine significantly lower the basic reproduction number $(R_{0})$, effectively for controlling cholera transmission. The Laplace Adomian Decomposition Method (LADM) was used to solve the system and numerical simulation which confirm that booster vaccination enhances long-term immunity, while quarantine measures reduce transmission by limiting contact between infected and susceptible populations. Results provide valuable a valuable insights that can guide policymakers in developing more effective cholera prevention strategies to reduce disease incidence and mortality.
Kolawole,M Kayode and Adebayo,S . (2025). A mathematical modeling evaluating the role of booster vaccine and Quarantine strategy as interventions for cholera control. Computational Mathematics and Computer Modeling with Applications (CMCMA), 4(1), 21-42. doi: 10.48308/CMCMA.4.1.21
MLA
Kolawole,M Kayode, and Adebayo,S . "A mathematical modeling evaluating the role of booster vaccine and Quarantine strategy as interventions for cholera control", Computational Mathematics and Computer Modeling with Applications (CMCMA), 4, 1, 2025, 21-42. doi: 10.48308/CMCMA.4.1.21
HARVARD
Kolawole M Kayode, Adebayo S. (2025). 'A mathematical modeling evaluating the role of booster vaccine and Quarantine strategy as interventions for cholera control', Computational Mathematics and Computer Modeling with Applications (CMCMA), 4(1), pp. 21-42. doi: 10.48308/CMCMA.4.1.21
CHICAGO
M Kayode Kolawole and S Adebayo, "A mathematical modeling evaluating the role of booster vaccine and Quarantine strategy as interventions for cholera control," Computational Mathematics and Computer Modeling with Applications (CMCMA), 4 1 (2025): 21-42, doi: 10.48308/CMCMA.4.1.21
VANCOUVER
Kolawole M Kayode, Adebayo S. A mathematical modeling evaluating the role of booster vaccine and Quarantine strategy as interventions for cholera control. Computational Mathematics and Computer Modeling with Applications (CMCMA). 2025;4(1):21-42. doi: 10.48308/CMCMA.4.1.21
