Parameter estimation in uncertain delay differential equations via the method of moments
作者：
Highlights：
• Applying the method of moments to estimate the parameters of uncertain delay differential equations with a given delay time is efficient.
• Designing an approximate method of moments t o estimate the parameters and the delay time of uncertain delay differential equations with unknown delay time is feasible.
• A paradox of stochastic delay logistic model is proved and an uncertain delay logistic model is provided to solve the paradox.
• A numerical algorithm design ed to obtain the numerical solution of uncertain delay logistic model.
摘要
•Applying the method of moments to estimate the parameters of uncertain delay differential equations with a given delay time is efficient.•Designing an approximate method of moments t o estimate the parameters and the delay time of uncertain delay differential equations with unknown delay time is feasible.•A paradox of stochastic delay logistic model is proved and an uncertain delay logistic model is provided to solve the paradox.•A numerical algorithm design ed to obtain the numerical solution of uncertain delay logistic model.
论文关键词：Uncertain delay differential equation,Liu process,Parameter estimation,Method of moments,Uncertain delay logistic model
论文评审过程：Received 25 October 2020, Revised 28 December 2021, Accepted 6 June 2022, Available online 19 June 2022, Version of Record 19 June 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127311
