Basic Knowledge and Modeling on Epidemic Dynamics

The following sections are included:

• Introduction

• The Fundamental Forms of Epidemic Models

  • Two fundamental dynamic models of epidemics

    • Kermack–Mckendrick SIR compartment model

    • Kermack–Mckendrick SIS compartment model

  • Fundamental forms of compartment models

    • Models without vital dynamics

    • Models with vital dynamics

• Basic Concepts of Epidemiologic Dynamics

  • Adequate contact rate and incidence

  • Basic reproductive number and modified reproductive number

    • Basic reproductive number

    • Modified reproductive number

  • Average lifespan and average infection age

• Epidemic Models with Various Factors

  • Epidemic models with latent period

  • Epidemic models with time delay

    • Ideas for the modeling

    • Examples of models with time delay

  • Epidemic models with prevention, control, or treatment

    • Models with quarantine

    • Models with vaccination

    • Models with treatment

  • Epidemic models with multiple groups

    • Models with different subgroups

    • Models with multiple populations

    • Models with vector-host

  • Epidemic models with age structure

    • Population models with age structure

    • Epidemic models with age structure

  • Epidemic models with impulses

    • Concepts of impulsive differential equations

    • Epidemic models consist of impulsive differential equations

  • Epidemic models with migration

    • Epidemic models with migration among different patches

    • Epidemic models with continuous diffusion in space

  • Epidemic models with time-dependent coefficients

    • SIR model with time-dependent coefficients