An analysis of a predator-prey model with both diffusion and migration

DOI10.1016/j.mcm.2009.12.010zbMath1198.35124OpenAlexW2059218683WikidataQ115568930 ScholiaQ115568930MaRDI QIDQ604118

Pan-Ping Liu

Publication date: 8 November 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.12.010

zbMATH Keywords

frequencywave numberdiffusion and migrationdispersal relation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (9)

Solución tipo onda viajera en un modelo difusivo depredador - presa tipo Holling II ⋮ Model of prey-predator dynamics with reflexive spatial behaviour of species based on optimal migration ⋮ Dynamical complexity of a spatial phytoplankton-zooplankton model with an alternative prey and refuge effect ⋮ Dynamics of a delayed predator-prey model with predator migration ⋮ Pattern self-organization and pattern transition on the route to chaos in a spatiotemporal discrete predator-prey system ⋮ Periodicity and limit cycle perturbation analysis of a predator-prey model with interspecific species' interference, predator additional food and dispersal ⋮ Two-patches prey impulsive diffusion periodic predator-prey model ⋮ Dynamics of a fractional epidemiological model with disease infection in both the populations ⋮ On the problem of modeling reflexive behavior in conflict by an example of biological communities

Uses Software

• xmds

Cites Work

• Unnamed Item
• Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
• Mathematical biology. Vol. 1: An introduction.
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• SPATIAL PATTERN IN A PREDATOR-PREY SYSTEM WITH BOTH SELF- AND CROSS-DIFFUSION
• Ecological chaos in the wake of invasion.
• xmds: eXtensible multi-dimensional simulator

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