Stochastic modeling of a mosquito-borne disease

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dc.contributor.authorAbiodun, Gbenga J.
dc.contributor.authorWitbooi, Peter Joseph
dc.contributor.authorvan Schalkwyk, Garth J.
dc.date.accessioned2020-11-23T06:55:12Z
dc.date.available2020-11-23T06:55:12Z
dc.date.issued2020
dc.description.abstractWe present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a numerical invariant R of the model with R<1 being a condition guaranteeing the almost sure stability of the disease-free equilibrium. We show that stochastic perturbations enhance the stability of the disease-free equilibrium of the underlying deterministic model. We illustrate the main stability theorem through simulations and show how to obtain interval estimates when making forward projections. We consulted a wide range of literature to find relevant numerical parameter values.en_US
dc.identifier.citationAbiodun, G.J. (2020). Stochastic modeling of a mosquito-borne disease. Advances in Difference Equations, 2020(1),347.en_US
dc.identifier.issn1687-1847
dc.identifier.urihttps://doi.org/10.1186/s13662-020-02803-w
dc.identifier.urihttp://hdl.handle.net/10566/5446
dc.language.isoenen_US
dc.publisherSpringer Natureen_US
dc.subjectSDE modelen_US
dc.subjectBasic reproduction numberen_US
dc.subjectExponential stabilityen_US
dc.subjectMalariaen_US
dc.subjectExtinctionen_US
dc.titleStochastic modeling of a mosquito-borne diseaseen_US
dc.typeArticleen_US

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