Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
December 4, 2025Proceedings of the National Academy of Sciences

Global stability of epidemic models with uniform susceptibility

View Full Paper
Ask AI
Bookmark
Share

Authors

DEDavid J. D. EarnCMC. Connell McCluskey

Discussion

Loading...

Member takes

Implication

Theorems reveal global stability in epidemic models, showing the importance of basic reproduction number and endemic equilibria.

Key Points

  • Global stability is achieved in compartmental epidemic models where susceptible individuals are indistinguishable, ensuring a GAS equilibrium.
  • If the basic reproduction number exceeds 1, a constant positive disease prevalence is observed; otherwise, the model indicates a disease-free state.
  • Observational analysis focuses on the stability of equilibria using Lyapunov's method, avoiding local stability analyses altogether.
  • This framework clarifies the absence of complex coexistence or non-equilibrium attractors in these models.

Cite This Study

Earn et al. (2025) studied this question.

synapsesocial.com/papers/6930e8dbea1aef094cca3e0chttps://doi.org/10.1073/pnas.2510156122
View Full Paper
Ask AI
Bookmark
Share

Also Consider

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

  1. 1Lyapunov functions and global properties for SEIR and SEIS epidemic models2004 · 259 citations
  2. 2Global Results for an Epidemic Model with Vaccination that Exhibits Backward Bifurcation2003 · 359 citations