| dc.contributor.author | Witbooi, Peter J | |
| dc.contributor.author | Muller, Grant E | |
| dc.contributor.author | Ongansie, Marshall B | |
| dc.date.accessioned | 2022-01-20T11:10:58Z | |
| dc.date.available | 2022-01-20T11:10:58Z | |
| dc.date.issued | 2022-02 | |
| dc.identifier.citation | Witbooi, 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.uri | doi: 10.3934/dcdss.2021116 | |
| dc.identifier.uri | http://hdl.handle.net/10566/7123 | |
| dc.description.abstract | A 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.language.iso | en | en_US |
| dc.publisher | American Institute of Mathematical Sciences | en_US |
| dc.subject | Cholera | en_US |
| dc.subject | Nigeria | en_US |
| dc.subject | Exponential stability | en_US |
| dc.subject | Extinction | en_US |
| dc.title | A stochastic population model of cholera disease | en_US |
| dc.type | Article | en_US |
