Numerical analysis for stochastic age-dependent population equations

DOI10.1016/j.amc.2004.10.088zbMath1088.65004OpenAlexW2078979215MaRDI QIDQ2572339

Chongzhao Han, Qi-min Zhang

Publication date: 16 November 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.10.088

zbMATH Keywords

convergenceLyapunov functionstochastic partial differential equationsEuler methodpopulation models

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) 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)

Related Items (9)

Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Markovian switching and variable delay ⋮ Convergence of numerical solutions to stochastic age-structured population system with diffusion ⋮ Split-step \(\theta\)-methods for stochastic age-dependent population equations with Markovian switching ⋮ Convergence of numerical solutions to stochastic age-structured system of three species ⋮ Numerical analysis for stochastic age-dependent population equations with fractional Brownian motion ⋮ Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes ⋮ Convergence of numerical solutions for a class of stochastic age-dependent capital system with fractional Brownian motion ⋮ Age distribution dynamics with stochastic jumps in mortality ⋮ Numerical analysis for stochastic age-dependent population equations with Poisson jump and phase semi-Markovian switching

Cites Work

• Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states
• Numerical solutions to equations modelling nonlinearly interacting age- dependent populations
• Rapidly converging numerical algorithms for models of population dynamics
• Higher-order implicit strong numerical schemes for stochastic differential equations
• The quasi-stationary distribution for small random perturbations of certain one-dimensional maps
• Existence, uniqueness and exponential stability for stochastic age-dependent population
• Numerical analysis of semilinear stochastic evolution equations in Banach spaces
• A PARTIAL DIFFERENTIAL EQUATION FOR THE CHARACTERISTIC FUNCTION OF THE RESPONSE OF NON-LINEAR SYSTEMS TO ADDITIVE POISSON WHITE NOISE

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