A MODEL OF AGE-STRUCTURED POPULATION UNDER STOCHASTIC PERTURBATION OF DEATH AND BIRTH RATES

Результат исследований: Вклад в журналСтатья

Аннотация

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.
Язык оригиналаАнглийский
Страницы (с-по)3-13
Число страниц11
ЖурналUral Mathematical Journal
Том4
Номер выпуска1 (6)
DOI
СостояниеОпубликовано - 2018

ГРНТИ

  • 27.00.00 МАТЕМАТИКА

Уровень публикации

  • Перечень ВАК

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