Periodic solutions of some models with strong Allee effects

DOI10.1016/j.nonrwa.2011.07.044zbMath1238.34067OpenAlexW2035587628MaRDI QIDQ420086

John R. Graef, Smita Pati, Seshadev Padhi

Publication date: 20 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.044

zbMATH Keywords

periodic solutionspositive solutionspopulation modelsAllee effects

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Positive periodic solutions of systems of first order ordinary differential equations
• Bio-economics of a renewable resource in a seasonally varying environment
• A spatially explicit model for an Allee effect: why wolves recolonize so slowly in Greater Yellowstone
• Periodic solutions for an equation governing dynamics of a renewable resource subjected to Allee effects
• Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect
• Oscillatory population growth in periodic environments
• Positive periodic solutions of functional differential equations
• A diffusive SI model with Allee effect and application to FIV
• Habitat selection reduces extinction of populations subject to Allee effecs
• How predator functional responses and Allee effects in prey affect the paradox of enrichment and population collapses
• Allee-like effects in metapopulation dynamics
• Periodic solutions for scalar functional differential equations
• Multiple periodic solutions for system of first-order differential equation
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Elements of Mathematical Ecology