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

DOI10.15826/umj.2018.1.001zbMath1453.60112OpenAlexW2886580506WikidataQ129439079 ScholiaQ129439079MaRDI QIDQ5125207

Maxim A. Alshanskiy

Publication date: 5 October 2020

Published in: Ural mathematical journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj51

zbMATH Keywords

stochastic differential equationBrownian sheetGaussian white noiseage-structured population modelcylindrical Wiener process

Mathematics Subject Classification ID

Population dynamics (general) (92D25) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Stochastic McKendrick-von Foerster models with applications

Cites Work

• The existence and asymptotic behaviour of energy solutions to stochastic age-dependent population equations driven by Levy processes
• The Itô integral and the Hitsuda-Skorohod integral in the infinite dimensional case
• Stochastic equations with an unbounded operator coefficient and multiplicative noise
• Existence, uniqueness and exponential stability for stochastic age-dependent population
• The generalized well-posedness of the Cauchy problem for an abstract stochastic equation with multiplicative noise
• Regularized and generalized solutions of infinite-dimensional stochastic problems
• Stochastic Differential Equations in Infinite Dimensions
• On the Derivative of Local Time for the Brownian Sheet with Respect to a Space Variable
• Stochastic Equations in Infinite Dimensions

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