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A model of age-structured population under stochastic perturbation of death and birth rates
Ural mathematical journal, Tome 4 (2018) no. 1, pp. 3-13 Cet article a éte moissonné depuis la source Math-Net.Ru

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Under consideration is construction of a model of age-structured population reflecting random oscillations of the death and birth rate functions. We arrive at an Itô-type difference equation in a Hilbert space of functions which can not be transformed into a proper Itô equation via passing to the limit procedure due to the properties of the operator coefficients. We suggest overcoming the obstacle by building the model in a space of Hilbert space valued generalized random variables where it has the form of an operator-differential equation with multiplicative noise. The result on existence and uniqueness of the solution to the obtained equation is stated.
Keywords: Brownian sheet, Cylindrical Wiener process, Gaussian white noise, Stochastic differential equation, Age-structured population model. 
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Maxim A. Alshanskiy. A model of age-structured population under stochastic perturbation of death and birth rates. Ural mathematical journal, Tome 4 (2018) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/UMJ_2018_4_1_a0/

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