On simulating the short and long memory of ergodic Markov and non-Markov genetic diffusion processes on the long run

DOI10.1016/j.chaos.2020.110478zbMath1496.60028OpenAlexW3110601187WikidataQ114199199 ScholiaQ114199199MaRDI QIDQ2128277

R. M. Hassan, Ahmed M. A. El-Sayed, Entsar A. Abdel-Rehim

Publication date: 21 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110478

zbMATH Keywords

simulationapproximate solutionstationary solutionergodic Markov chainexplicit schemeGrünwald-Letnikov schemereversibility propertyCaputo time fractionalgenetic diffusion equationgenetic drift equation

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Diffusion processes (60J60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Foundations of stochastic processes (60G05)

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