Exponential stability of numerical solutions to stochastic age-dependent population equations

DOI10.1016/j.amc.2006.05.053zbMath1117.65013OpenAlexW2006399316MaRDI QIDQ864753

N. E. Zubov

Publication date: 13 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.053

zbMATH Keywords

exponential stabilitystrong solutionstochastic partial differential equationstochastic population equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (5)

Stability and moment boundedness of an age-structured model with randomly-varying immigration or harvesting ⋮ Stability of non-densely defined semilinear stochastic evolution equations with application to the stochastic age-structured model ⋮ The asymptotic stability of numerical analysis for stochastic age-dependent cooperative Lotka-Volterra system ⋮ Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching ⋮ Stability and moment boundedness of the stochastic linear age-structured model

Cites Work

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• On the global stability of the logistic age-dependent population growth
• Stability of an age specific population with density dependent fertility
• The dynamics of hierarchical age-structured populations
• Stochastic differential delay equations of population dynamics
• Existence, uniqueness and exponential stability for stochastic age-dependent population
• Non-linear age-dependent population dynamics
• Convergence of numerical solutions to stochastic age-dependent population equations
• On the use of the direct matrix product in analysing certain stochastic population models

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