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March 2, 2026International Journal of Bifurcation and Chaos

Asymptotic Analysis of an Age-Structured Predator–Prey Model with Two Time Delays and Disease in the Prey Species

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Authors

DYDongxue YanYJYongxian JinYYYuan YuanNanjing University of Finance and Economics

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Implication

Mathematical analysis investigates ecosystem stability in an age-structured predator-prey model, suggesting implications for managing diseases in prey.

Key Points

  • The aim is to explore the asymptotic behavior of a predator-prey model that includes age structure and time delays in dynamics.
  • Formulated as a Cauchy problem analysis
  • Studied conditions for the existence of equilibria
  • Established global asymptotic stability of boundary equilibrium
  • Analyzed eigenvalue distributions for stability
  • Investigated Hopf bifurcation with time delay parameters
  • Established conditions for equilibrium existence
  • Proved global asymptotic stability of boundary equilibria
  • Described dynamics through Hopf bifurcation results
  • Illustrated practical implications with numerical examples

Cite This Study

Yan et al. (2026) studied this question.

synapsesocial.com/papers/69a52e15f1e85e5c73bf17d4https://doi.org/10.1142/s0218127426500975
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Also Consider

Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Epidemics in predator-prey models: disease in the predators2002 · 315 citations
  2. 2Analysis of a predator–prey model with herd behavior and disease in prey incorporating prey refuge2018 · 62 citations