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May 7, 2026Mathematical Methods in the Applied Sciences

A Unified Approach to Evolution Models With Allee Effects

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Authors

EKEddy KwessiThe University of Texas at San AntonioEKEddy K. KwessiThe University of Texas at San Antonio

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Implication

Framework reveals stability and evolutionary feedback effects in populations, suggesting implications for conservation and biological control.

Key Points

  • To develop a unified framework for understanding eco-evolutionary dynamics influenced by Allee effects.
  • Constructed discrete-time models incorporating multiplicative Allee effects.
  • Classified Allee functions into increasing, decreasing, or unimodal categories.
  • Derived conditions for existence and stability of equilibria.
  • Demonstrated that evolutionary feedback can amplify or mitigate extinction risk.
  • Identified generalized multi-threshold regimes with multiple interior equilibria.
  • Provided new insights into persistence thresholds and evolutionary tipping points.

Cite This Study

Kwessi et al. (2026) studied this question.

synapsesocial.com/papers/69fbefef164b5133a91a41e3https://doi.org/10.1002/mma.70776
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Also Consider

Synapse has enriched one closely related paper. Consider it for comparative context:

  1. 1Effects of environmental variation on extinction and establishment2003 · 81 citations