Numerical solutions of stochastic Fisher equation to study migration and population behavior in biological invasion

DOI10.1142/S1793524517501030zbMath1373.60114OpenAlexW2619646298WikidataQ111174139 ScholiaQ111174139MaRDI QIDQ4588333

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Publication date: 2 November 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517501030

zbMATH Keywords

circular embedding\(Q\)-Wiener processEuler-Maruyama schemecylindrical Wiener process\(L^2(D)\)-valued \(Q\)-Wiener processstochastic Fisher equation

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

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Cites Work

• Numerical methods for stochastic partial differential equations with multiple scales
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation
• Explicit solutions of Fisher's equation for a special wave speed
• Higher-order implicit strong numerical schemes for stochastic differential equations
• Numerical study of Fisher's equation by Adomian's method
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Numerical solution of stochastic partial differential equations using a collocation method
• An Introduction to Computational Stochastic PDEs
• Numerical Solution of Stochastic Differential Equations in Finance
• Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
• Some exact solutions of a generalized Fisher equation related to the problem of biological invasion

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