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A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
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Published on: September 28, 2022

Epidemic models with nonlinear infection forces.

Wendi Wang1

  • 1Department of Mathematics, Southwest Normal University, Chongqing, 400715, PR China. wendi@swu.edu.cn.

Mathematical Biosciences and Engineering : MBE
|April 6, 2010
PubMed
Summary
This summary is machine-generated.

Disease models incorporating behavior changes show that interventions simplify disease dynamics and lower levels. Even with stable disease-free and endemic states, recovery rates can alter disease persistence, potentially leading to extinction.

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Dynamical Systems

Background:

  • Understanding disease dynamics is crucial for public health.
  • Behavior changes significantly impact epidemic trajectories.
  • Intervention policies aim to control disease spread.

Purpose of the Study:

  • To analyze epidemic models incorporating behavior changes.
  • To investigate the effects of protection measures and intervention policies.
  • To explore the complex dynamics arising from these factors.

Main Methods:

  • Development and analysis of mathematical epidemic models.
  • Inclusion of behavior-dependent infection forces.
  • Numerical simulations to explore model bifurcations and equilibria.

Main Results:

  • Intervention strategies reduce endemic disease levels and simplify dynamics.
  • Models can exhibit both stable disease-free and endemic equilibria.
  • Varying recovery rates can shift disease persistence boundaries from stable states to unstable limit cycles.
  • Weak behavioral inhibition can lead to multiple limit cycles and bifurcations.

Conclusions:

  • Behavior changes and interventions are key factors in disease control.
  • Complex dynamics, including multiple equilibria and limit cycles, can arise in epidemic models.
  • Mathematical modeling provides insights into disease persistence and extinction scenarios.