Browsing by Author "Abiodun, Gbenga J."

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    Stochastic modeling of a mosquito-borne disease
    (Springer Nature, 2020) Abiodun, Gbenga J.; Witbooi, Peter Joseph; van Schalkwyk, Garth J.
    We 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.