Mathematical Modelling of the Dynamics and Control of Communicable Diseases with Emphasis on Cholera Epidemics

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dc.contributor.authorAvwerosuo, Anthony Akalusi
dc.contributor.authorOkedoye, Akindele Michael
dc.date.accessioned2026-02-12T08:56:19Z
dc.date.available2026-02-12T08:56:19Z
dc.date.issued2023
dc.descriptionJournal Article
dc.description.abstractCholera remains a disease of public health importance, associated with high morbidity and mortality. This research provides a mathematical approach on the effective control and possible eradication of Vibrio cholera causing menace. This was done using a deterministic SPIRB mathematical model, were we defined S-susceptible, P-protected, I-infected, R-recovered and B-bacteria. We carried out mathematical analyses on the model, such as the invariant region analysis, non-negativity of solutions, equilibrium points, basic reproduction number, stability analysis, sensitivity analysis and bifurcation analysis. All solutions of the SPIRB model are positive and there exists an invariant region for the model. Although, the disease-endemic equilibrium of the model is globally asymptomatically stable, the disease-free equilibrium of the model is not globally stable but locally asymptomatically stable. It was also revealed that the recruitment rate into the susceptible class, the probability that each contact is effective enough to cause infection, the contact rate with contaminated environment, the average contribution of each infected individual to the pathogen population of Vibrio cholera, and the progression rate of protected individuals to the susceptible class are the most sensitive parameters. We showed via the bifurcation analysis that if the progression rate of protected individuals to the susceptible class can be kept very close to zero, say between zero and unity, then the disease-free equilibrium can be kept stable. Numerical simulations were conducted to show the effects of some parameters on the classes
dc.identifier.citationAvwerosuo, A. A. and Okedoye, A. M. (2023) Mathematical Modelling of the Dynamics and Control of Communicable Diseases with Emphasis on Cholera Epidemics; Asian Journal of Applied Science and Technology (AJAST) Volume 7, Issue 4, Pages 99-119. https://doi.org/10.38177/ajast.2023.7412
dc.identifier.issn2456-883X
dc.identifier.urihttps://repository.fupre.edu.ng/handle/123456789/151
dc.language.isoen
dc.publisherAsian Journal of Applied Science and Technology (AJAST)
dc.titleMathematical Modelling of the Dynamics and Control of Communicable Diseases with Emphasis on Cholera Epidemics
dc.typeArticle
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