Parameter estimation of a stochastic infectious disease model driven by multiplicative Lévy noise
By using the least squares method,the parameter estimation problem of a stochastic SEIRS infectious disease model driven by multiplicative Lévy noises is studied.Firstly,based on the discrete observation samples of the model,the least squares estimators of the unknown parame-ters in the model are obtained.Secondly,the asymptotic consistency of the estimators is discussed when the noise intensity tends to 0 and the sample size of discrete observation tends to infinity,and the limit distribution of the estimators is given.Finally,different noise intensity and sample size are selected for numerical simulation.The results show that the relative error of parameter estimators decreases with the increase of sample size or the decrease of noise intensity.When the sample size is large enough and the noise intensity is small enough,the estimator is almost close to the real value.
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