Existence of non-constant positive stationary solutions of the shadow predator-prey systems with Allee effect

DOI10.1186/1687-1847-2014-226zbMath1346.35105OpenAlexW2162236554WikidataQ59323332 ScholiaQ59323332MaRDI QIDQ307241

He Liu, Zhen-Hua Bao

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-226

zbMATH Keywords

shadow systemhomogeneous diffusive predator-prey systemnon-constant positive stationary solutionsstrong Allee effect in prey

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Positive solutions to PDEs (35B09)

Cites Work

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• Regimes of biological invasion in a predator-prey system with the Allee effect
• Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
• Existence of traveling wave solutions for diffusive predator-prey type systems
• Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
• Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
• Allee dynamics and the spread of invading organisms
• How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
• Sur les périodes des solutions de l'équation différentielle x + g(x) = 0
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• Activators and Inhibitors in Pattern Formation

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