Numerical simulations based on POD for stochastic age-dependent system of two species

DOI10.1007/S12591-014-0229-3zbMath1335.65012OpenAlexW2144158958MaRDI QIDQ745992

Juanting Feng, Hongfu Yang, Qi-min Zhang

Publication date: 15 October 2015

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-014-0229-3

zbMATH Keywords

numerical exampleproper orthogonal decompositionerror estimatepopulation dynamicsEuler approximation schemefinite elements formulationstochastic age-dependent system of two species

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

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Permanence and ergodicity of stochastic Gilpin-Ayala population model with regime switching

Cites Work

• An optimal birth control problem for a dynamical population model with size-structure
• A reduced finite element formulation based on POD method for two-dimensional solute transport problems
• Numerical analysis for stochastic age-dependent population equations with Poisson jumps
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• A Kolmogorov-Fokker-Planck approach for a stochastic Duffing-van der Pol system
• Absolute stability analysis in cellular neural networks with variable delays and unbounded delay
• Numerical method for stationary distribution of stochastic differential equations with Markovian switching
• Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes
• Synchronization of stochastic fuzzy cellular neural networks with leakage delay based on adaptive control
• Deterministic and stochastic dynamics of a competitive phytoplankton model with allelopathy
• Galerkin proper orthogonal decomposition methods for parabolic problems

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