文章基本信息

标题：Stochastic modeling of a mosquito-borne disease
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作者：Peter J. Witbooi ; Gbenga J. Abiodun ; Garth J. van Schalkwyk 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-15
DOI：10.1186/s13662-020-02803-w
出版社：Hindawi Publishing Corporation
摘要：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 ${\mathcal{R}}$ of the model with ${\mathcal{R}}<1$ 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.
关键词：SDE model;Basic reproduction number;Exponential stability;Malaria;Extinction;