Mathematical and computational studies of fractional reaction-diffusion system modelling predator-prey interactions
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Publication:1649480
DOI10.1515/jnma-2016-1044zbMath1470.92253OpenAlexW2809418509WikidataQ115514389 ScholiaQ115514389MaRDI QIDQ1649480
Edson Pindza, Kolade M. Owolabi
Publication date: 6 July 2018
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jnma-2016-1044
linear stability analysisnumerical simulationcoexistencefractional Fourier transformpredator-prey systemfractional reaction-diffusion
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
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- Higher-order time-stepping methods for time-dependent reaction-diffusion equations arising in biology
- Mathematical study of multispecies dynamics modeling predator-prey spatial interactions
- Exponential time differencing for stiff systems
- Stability by Liapunov's direct method. With applications
- Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
- Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Modeling diffusive transport with a fractional derivative without singular kernel
- Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
- Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense
- Mathematical modelling and analysis of two-component system with Caputo fractional derivative order
- Numerical solution of singular patterns in one-dimensional Gray-Scott-like models
- Pattern formation in a cross-diffusive ratio-dependent predator-prey model
- Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- Spatiotemporal pattern in a self- and cross-diffusive predation model with the Allee effect
- Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
- Bifurcation analysis in a delayed Lotka-Volterra predator-prey model with two delays
- Bifurcation behaviors analysis on a predator-prey model with nonlinear diffusion and delay
- BIFURCATION ANALYSIS OF A DELAYED PREDATOR-PREY MODEL OF PREY MIGRATION AND PREDATOR SWITCHING
- Exponential integrators
- The Carathéodory–Fejér Method for Real Rational Approximation
- Fractional Fourier transform in the framework of fractional calculus operators
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Spatiotemporal dynamics of two generic predator–prey models
- Denseness of the spaces $Φ_V$ of Lizorkin type in the mixed $L^{p̅}(ℝ^n)$-spaces
- Fourth-Order Time-Stepping for Stiff PDEs
- Bifurcation behaviours in a delayed three-species food-chain model with Holling type-II functional response