Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump

DOI10.1063/1.4816557zbMath1286.35279OpenAlexW2037950840MaRDI QIDQ5407649

Huabin Chen

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4816557

zbMATH Keywords

existenceuniquenessstrong solutionsattractionItô's formulaBurkholder-Davis-Gundy inequalitystochastic age-structured population systems

Mathematics Subject Classification ID

Population dynamics (general) (92D25) PDEs with randomness, stochastic partial differential equations (35R60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Exponential stability of nonlinear fractional stochastic system with Poisson jumps ⋮ Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion ⋮ Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects ⋮ Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps

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