Convergence of numerical solutions to stochastic age-structured population system with diffusion

DOI10.1016/j.amc.2006.07.156zbMath1123.65006OpenAlexW1998219792MaRDI QIDQ884574

Chongzhao Han, Qi-min Zhang

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.156

zbMATH Keywords

convergenceimplicit Euler methoddiscrete time approximationbirth, death, space diffusionstochastic age-structured population system

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 (8)

Lifetime and reproduction of a marked individual in a two-species competition process ⋮ A new convergence and positivity analysis of balanced Euler method for stochastic age‐dependent population equations ⋮ Split-step \(\theta\)-methods for stochastic age-dependent population equations with Markovian switching ⋮ Existence and uniqueness for stochastic age-dependent population with fractional Brownian motion ⋮ Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes ⋮ Exponential stability of numerical solutions for a class of stochastic age-dependent capital system with Poisson jumps ⋮ Convergence of numerical solutions to stochastic age-structured population equations with diffusions and Markovian switching ⋮ Numerical analysis for stochastic age-dependent population equations with Poisson jump and phase semi-Markovian switching

Cites Work

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• Age-density dependent population dispersal in \(\mathbb{R}^N\)
• Existence, uniqueness and exponential stability for stochastic age-dependent population
• Numerical analysis for stochastic age-dependent population equations
• On the use of the direct matrix product in analysing certain stochastic population models

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