The spreading property for a prey-predator reaction-diffusion system with fractional diffusion

DOI10.1515/fca-2015-0035zbMath1499.92064OpenAlexW2562750360WikidataQ115514474 ScholiaQ115514474MaRDI QIDQ2346209

Hongmei Cheng, Rong Yuan

Publication date: 1 June 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0035

zbMATH Keywords

spreading propertiesfractional diffusionprey-predator reaction-diffusion system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Traveling wave solutions (35C07) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items (9)

A free boundary problem of some modified Leslie-gower predator-prey model with nonlocal diffusion term ⋮ Existence and stability of traveling waves for Leslie-Gower predator-prey system with nonlocal diffusion ⋮ Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model ⋮ A Liouville theorem for a class of reaction-diffusion systems with fractional diffusion ⋮ Spatial dynamics of a nonlocal dispersal Leslie-Gower predator-prey model with some shifting habitats ⋮ Existence of forced waves and their asymptotics for Leslie-Gower prey-predator model with some shifting environments ⋮ Spatial dynamics of some modified Leslie-Gower prey-predator model with shifting habitat ⋮ Traveling waves of some Holling-Tanner predator-prey system with nonlocal diffusion ⋮ A free boundary problem for some modified predator-prey model in a higher dimensional environment.

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