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June 29, 2026International Journal of Biomathematics

Dynamics of a Spatiotemporal Viral Infection Model with Two Age Structures and Nonlinear Incidence Function

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Authors

GSGuangwang SuSDSalih DjilaliANAbderrazak Nabti

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Overview

Investigates a spatiotemporal viral infection model, revealing critical dynamics for disease spread.

Key Points

  • The aim is to explore the global dynamics of a viral infection model with age structures and nonlinear incidence.
  • Developed a spatiotemporal model considering susceptibility and infection ages.
  • Utilized semigroup theory to determine the basic reproduction number.
  • Applied Lyapunov functionals for analyzing stability and persistence of steady states.
  • Identified that the virus-free steady state is globally asymptotically stable when the reproduction number is below one.
  • Proven that the solution map is uniformly persistent and positive steady state globally asymptotically stable when above one.
  • Explored the asymptotic profiles of the positive steady state at large dispersion rates.

Cite This Study

Su et al. (2026) studied this question.

synapsesocial.com/papers/6a420b2ff91bb43ea91924abhttps://doi.org/10.1142/s1793524526500713
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