Numerical analysis for stochastic age-dependent population equations with Poisson jump and phase semi-Markovian switching

DOI10.1016/j.cnsns.2010.04.001zbMath1221.65019OpenAlexW1982585582MaRDI QIDQ718327

A. Rathinasamy, B. Yasodha, Baojian Yin

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.04.001

zbMATH Keywords

numerical analysisPoisson jumpstochastic age-dependent population equationsphase semi-Markovian switchingsemi-implicit Euler approximation

Mathematics Subject Classification ID

Related Items (11)

An averaging principle for stochastic evolution equations with jumps and random time delays ⋮ The numerical algorithm for stochastic age-dependent population system with Lévy noise in a polluted environment ⋮ Convergence of the split-step \(\theta\)-method for stochastic age-dependent population equations with Poisson jumps ⋮ Asymptotic mean-square boundedness of the numerical solutions of stochastic age-dependent population equations with Poisson jumps ⋮ Split-step \(\theta\)-methods for stochastic age-dependent population equations with Markovian switching ⋮ \(T\)-stability of the split-step \(\theta\)-methods for linear stochastic delay integro-differential equations ⋮ Strong convergence of the split-step \(\theta\)-method for stochastic age-dependent capital system with random jump magnitudes ⋮ Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes ⋮ Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump ⋮ Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps ⋮ Strong convergence of the split-stepθ-method for stochastic age-dependent population equations

Cites Work

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• Convergence of the semi-implicit Euler method for stochastic age-dependent population equations with Poisson jumps
• Convergence of numerical solutions to neutral stochastic delay differential equations with Markovian switching
• Convergence of numerical solutions to stochastic age-dependent population equations with Markovian switching
• The age-dependent eigenfunctions of certain Kolmogorov equations of engineering, economics, and biology
• Continuous-time Markov chains. An applications-oriented approach
• Convergence of the semi-implicit Euler method for stochastic age-dependent population equations
• Convergence of numerical solutions to stochastic age-dependent population equations
• Numerical analysis for stochastic age-dependent population equations

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