Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching

DOI10.1016/j.cam.2009.08.113zbMath1180.65008OpenAlexW2055090968MaRDI QIDQ1034658

Wan-Kai Pang, Ping-Kei Leung, Rong-Hua Li

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.113

zbMATH Keywords

convergencenumerical exampleMarkovian switchingstochastic age-dependent population equations

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

• Unnamed Item
• Numerical analysis for stochastic age-dependent population equations with Poisson jumps
• Exponential stability of numerical solutions to stochastic age-dependent population equations
• Convergence of numerical solution to stochastic delay differential equation with Poisson jump and Markovian switching
• Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching
• Convergence of the Euler--Maruyama method for stochastic differential equations with Markovian switching.
• Stability of stochastic differential equations with Markovian switching
• Existence, uniqueness and exponential stability for stochastic age-dependent population
• Numerical solutions of stochastic differential delay equations under local Lipschitz condition
• Stochastic differential delay equations with Markovian switching
• Convergence of the semi-implicit Euler method for stochastic age-dependent population equations
• Convergence and stability of numerical solutions to SDDEs with Markovian switching
• Convergence of numerical solutions to stochastic age-dependent population equations
• Some remarks on the duality of continuous time markov chains