Extinction conditions for isolated populations with Allee effect

DOI10.1016/j.mbs.2011.04.005zbMath1217.92080OpenAlexW2123739183WikidataQ51569080 ScholiaQ51569080MaRDI QIDQ551517

Yong-Cai Geng, Sumit K. Garg

Publication date: 20 July 2011

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.04.005

zbMATH Keywords

extinctioncritical patch size

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Animal behavior (92D50)

Related Items (8)

Codimension-Two Bifurcations and Bifurcation Controls in a Discrete Biological System with Weak Allee Effect ⋮ Bifurcations and Control in a Discrete Predator–Prey Model with Strong Allee Effect ⋮ Modelling the dynamics in a predator-prey system with Allee effects and anti-predator behavior ⋮ How environmental noise can contract and destroy a persistence zone in population models with Allee effect ⋮ Codimension-one and codimension-two bifurcations of a discrete predator-prey system with strong Allee effect ⋮ Multiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey ⋮ Impact of Colored Noise on Population Model with Allee Effect ⋮ Pattern dynamics in a spatial predator-prey system with Allee effect

Cites Work

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• Global bifurcation of steady-state solutions
• Models for spatially distributed populations: The effect of within-patch variability
• Traveling waves in a model of influenza A drift
• Allee dynamics and the spread of invading organisms
• Spatial patterns and coexistence mechanisms in systems with unidirectional flow
• Bifurcation diagrams of population models with nonlinear diffusion
• Persistence in reaction diffusion models with weak Allee effect
• Scale transition theory with special reference to species coexistence in a variable environment
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Spectral Methods for Time-Dependent Problems
• Spatial Ecology via Reaction‐Diffusion Equations
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
• Speeds of invasion in a model with strong or weak Allee effects

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