The Transition Through Stages with Arbitrary Length Distributions, and Applications in Epidemics

  • Horst R. Thieme
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 126)


Life occurs in stages. Human (earthly) life is the stage between conception and death, clearly divided into two separate stages by birth. There are more stages that are less clearly separated: childhood, youth, adulthood, senescence. Invertebrate animals may have more distinctly separated stages, like egg, larva (or instar), pupa, imago. There may be even several larval stages. Infectious diseases take their course through various stages: latent period, infectious period without symptoms (the two together usually form the incubation period), infectious period with symptoms, and often an immunity period. With some diseases, HIV/AIDS e.g., the infectious period can be further subdivided according to the progress of the disease.


Sojourn Time Epidemic Model Endemic Equilibrium Basic Reproduction Number Exit Rate 
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© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Horst R. Thieme
    • 1
  1. 1.Department of MathematicsArizona State UniversityTempeUSA

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