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- W2898930818 abstract "In this paper we study the stability and moment boundedness of the solutions to the linear age-structured model with randomly-varying immigration or harvesting. For this model, we study stability and the asymptotic behavior of the first moment and the results are identical to that of the corresponding deterministic age-structured model and the linear age-structured model with the white noise. However, the stability and boundedness of the second moment are complicated and depend on the randomly-varying immigration or harvesting. For the linear age-structured model with randomly-varying immigration or harvesting, we directly prove that the second moment M ( t , a ) is bounded for 0 ≤ t < a . When t > a ≥ 0 , using the Laplace transform in the framework of Itô–Doob integral, we give the explicit expressions of the second moments M ( t , 0 ) and M ( t , a ) and then establish the sufficient conditions for the second moments to be bounded and unbounded, respectively, through the supreme of the real parts of all characteristic roots. We also study the asymptotic behaviors of the second moments M ( t , 0 ) and M ( t , a ) and give the sufficient condition for stochastically ultimately boundedness of the model." @default.
- W2898930818 created "2018-11-09" @default.
- W2898930818 creator A5060218545 @default.
- W2898930818 date "2019-03-01" @default.
- W2898930818 modified "2023-09-29" @default.
- W2898930818 title "Stability and moment boundedness of an age-structured model with randomly-varying immigration or harvesting" @default.
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- W2898930818 doi "https://doi.org/10.1016/j.jmaa.2018.10.084" @default.
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