On a prey-predator reaction-diffusion system with Holling type III functional response

DOI10.1016/j.cam.2010.05.040zbMath1205.65274OpenAlexW2007847050WikidataQ115581102 ScholiaQ115581102MaRDI QIDQ1959462

Narcisia C. Apreutesei, Gabriel Dimitriu

Publication date: 7 October 2010

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.2010.05.040

zbMATH Keywords

well-posednessfast Fourier transformsemidiscretizationfourth-order Runge-Kutta methodnumerical approximationreaction-diffusion equation systemHolling type III functional responsepositivity and boundedness of solutionsprey-predator reaction-diffusion system

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (15)

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Uses Software

• Matlab
• Differentiation Matrix Suite

Cites Work

• Exponential time differencing for stiff systems
• Generalized integrating factor methods for stiff PDEs
• A diffusive predator-prey model with a protection zone
• Traveling wavefronts for a two-species ratio-dependent predator-prey system with diffusion terms and stage structure
• Semigroups of linear operators and applications to partial differential equations
• Mathematical biology. Vol. 1: An introduction.
• Exponentially fitted Runge-Kutta methods
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Traveling waves in a diffusive predator-prey model with Holling type-III functional response
• Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response
• Some remarks on a singular reaction-diffusion system arising in predator-prey modeling
• Multiple bifurcations in a predator--prey system with monotonic functional response
• Mathematical Models in Population Biology and Epidemiology
• Spectral Methods in MATLAB
• Fourth-Order Time-Stepping for Stiff PDEs
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