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April 10, 2026Natural Resource ModelingOpen Access

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

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Authors

SASolomon AlemuMDMohammed Yiha DawedTMTesfaye Tefera Mamo

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Overview

Mathematical model analyzes infection dynamics in predator-prey systems, suggesting implications for ecological stability.

Key Points

  • The goal is to understand how time delays in infection and reproduction affect predator-prey dynamics.
  • Developed a delayed ecological model incorporating microparasites infecting prey.
  • Analyzed stability by treating time delays as bifurcation parameters.
  • Utilized numerical simulations with ODE 45 and DDE 23 codes.
  • Identified the existence of Hopf bifurcation in the model.
  • Observed stability switching as time delays crossed critical thresholds.
  • Confirmed theoretical findings through numerical simulations.

Cite This Study

Alemu et al. (2026) studied this question.

synapsesocial.com/papers/69d894ad6c1944d70ce059e4https://doi.org/10.1111/nrm.70033
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Bifurcation and onset of chaos in an eco-epidemiological system with the influence of time delay2024 · 4 citations
  2. 2Eco-epidemic Dynamics with Infected Communicable Infection from Prey to Predator: Effect of Recovery Delay for Predator2024
  3. 3Asymptotic Analysis of an Age-Structured Predator–Prey Model with Two Time Delays and Disease in the Prey Species2026
  4. 4Prey and Predator Inhabitants: Analysis and Direction of Hopf Bifurcation for Optimal Control of Disease Transmission in Prey–Predator Population With Numerical Simulations2026
  5. 5Chaos and bistability in a delayed eco-epidemiological model with fear and Allee effects2026