Waves analysis and spatiotemporal pattern formation of an ecosystem model

DOI10.1016/j.nonrwa.2011.02.020zbMath1228.35033OpenAlexW2036377116MaRDI QIDQ635208

Baba Issa Camara

Publication date: 19 August 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.02.020

zbMATH Keywords

Lyapunov functionlower solutionsupper solutionspredator-prey interactionTuring instabilitiesHopf instabilities

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Traveling wave solutions (35C07) Pattern formations in context of PDEs (35B36)

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Patterns formations in a diffusive ratio-dependent predator-prey model of interacting populations ⋮ Dynamical complexity of a spatial phytoplankton-zooplankton model with an alternative prey and refuge effect ⋮ Analytical detection of stationary turing pattern in a predator-prey system with generalist predator ⋮ Attractors and long transients in a spatio-temporal slow-fast Bazykin's model ⋮ Food web complexity analysis: effects of ecosystem changes ⋮ Traveling waves in a diffusive predator-prey model incorporating a prey refuge ⋮ Turing pattern formation in a predator-prey-mutualist system ⋮ Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes

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