A stochastic population model of cholera disease

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dc.contributor.authorWitbooi, Peter J
dc.contributor.authorMuller, Grant E
dc.contributor.authorOngansie, Marshall B
dc.date.accessioned2022-01-20T11:10:58Z
dc.date.available2022-01-20T11:10:58Z
dc.date.issued2022-02
dc.description.abstractA cholera population model with stochastic transmission and stochasticity on the environmental reservoir of the cholera bacteria is presented. It is shown that solutions are well-behaved. In comparison with the underlying deterministic model, the stochastic perturbation is shown to enhance stability of the disease-free equilibrium. The main extinction theorem is formulated in terms of an invariant which is a modification of the basic reproduction number of the underlying deterministic model. As an application, the model is calibrated as for a certain province of Nigeria. In particular, a recent outbreak (2019) in Nigeria is analysed and featured through simulations. Simulations include making forward projections in the form of confidence intervals. Also, the extinction theorem is illustrated through simulations.en_US
dc.identifier.citationWitbooi, P.J., Muller, G.E., Ongansie, M.B., Ahmed, I.H.I. & Okosun, K.O. 2022, "A stochastic population model of cholera disease", Discrete and Continuous Dynamical Systems - Series S, vol. 15, no. 2, pp. 441-456.en_US
dc.identifier.uridoi: 10.3934/dcdss.2021116
dc.identifier.urihttp://hdl.handle.net/10566/7123
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.subjectCholeraen_US
dc.subjectNigeriaen_US
dc.subjectExponential stabilityen_US
dc.subjectExtinctionen_US
dc.titleA stochastic population model of cholera diseaseen_US
dc.typeArticleen_US

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