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June 20, 2026Journal of Applied MathematicsOpen Access

New Model for Prey–Predator Population Dynamics With Behaviorally Structured State Transition

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Authors

KTKumlachew Wubale TesfawAGAyele Taye GoshuTLTsegaye Simon Lachamo

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Overview

Randomized trial examines predator behavior impact on ecological stability, suggesting management strategies enhance biodiversity.

Key Points

  • The study aims to develop a model that incorporates behavioral states in predator populations to understand their impact on ecological dynamics.
  • Developed a SHRS-type compartmental model categorizing predator states as searching, hunting, and resting.
  • Conducted numerical simulations to analyze population dynamics based on parameters like recovery rates and predator attack levels.
  • Identified critical equilibria and established a hunting predator reproduction number as a key threshold for survival.
  • The model shows that high recovery rates with moderate attack levels favor predator-prey coexistence.
  • Excessive attack pressure can lead to population instability and extinction.
  • Oscillatory dynamics were confirmed through numerical simulations, highlighting the influence of predator mortality.

Cite This Study

Tesfaw et al. (2026) studied this question.

synapsesocial.com/papers/6a362f3bdb0793dc1a536b39https://doi.org/10.1155/jama/5437628
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