A Mathematical Model on Cholera Dynamics with Prevention and Control

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dc.contributor.authorAyoade, A. A.
dc.contributor.authorIbrahim, M. O.
dc.contributor.authorPeter, O. J.
dc.contributor.authorOguntolu, F. A.
dc.date.accessioned2022-08-01T08:15:38Z
dc.date.available2022-08-01T08:15:38Z
dc.date.issued2018
dc.descriptionScholarly articleen_US
dc.description.abstractIn this paper, we present and analyze a cholera epidemiological model with modifications to Fung (2014) cholera model. The extended model incorporates preventive and control measures as well as the possibility of disease transmission from person-to-person. Equilibrium analysis is conducted for the extended model for two cases of epidemic equilibrium and endemic equilibrium to establish disease free equilibrium state (DFE) and endemic equilibrium state (EE) respectively. We derive the basic reproduction numbers and establish the local asymptotical stability for the two models. We later use the results to compare the models at the DFE states as regards the effects of control on the extended model. The endemic equilibrium state (EE) of the extended model is also studied and found to be locally asymptotically stable when the basic reproduction number . This shows that cholera can be eliminated in a population only if the preventive and control measures are strong enoughen_US
dc.identifier.citationAyoade, A. A., Ibrahim, M. O., Peter, O. J., & Oguntolu, F. A. (2018): A mathematical model on cholera dynamics with prevention and control. Covenant Journal of Physical & Life Sciences (CJPL), 6(1), 46-54.en_US
dc.identifier.issn2354-3515
dc.identifier.urihttps://ir.unilag.edu.ng/handle/123456789/10977
dc.language.isoenen_US
dc.publisherCovenant University, Otaen_US
dc.subjectModelen_US
dc.subjectEquilibriumen_US
dc.subjectReproduction numberen_US
dc.subjectStabilityen_US
dc.subjectResearch Subject Categories::MATHEMATICSen_US
dc.titleA Mathematical Model on Cholera Dynamics with Prevention and Controlen_US
dc.typeArticleen_US
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