Recurrent outbreaks of childhood diseases revisited

The impact of isolation

Zhilan Feng, Horst Thieme

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

The recurrent outbreaks of measles and other childhood diseases have previously been explained by an interaction of intrinsic epidemiologic forces generating dampened oscillations and of seasonal and/or stochastic excitation. We show that isolation (i.e., sick individuals stay at home and have a reduced infective impact) can create self-sustained oscillations provided that the number of per capita contacts is largely independent of the number of individuals present. This means that the bilinear mass action term for disease incidence is modified by dividing it by the number of nonisolated individuals.

Original languageEnglish (US)
Pages (from-to)93-130
Number of pages38
JournalMathematical Biosciences
Volume128
Issue number1-2
DOIs
StatePublished - 1995

Fingerprint

childhood
Isolation
Disease Outbreaks
oscillation
measles
disease incidence
Measles
Oscillation
Incidence
Excitation
Contact
Term
Interaction

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics
  • Modeling and Simulation
  • Statistics and Probability
  • Medicine(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Recurrent outbreaks of childhood diseases revisited : The impact of isolation. / Feng, Zhilan; Thieme, Horst.

In: Mathematical Biosciences, Vol. 128, No. 1-2, 1995, p. 93-130.

Research output: Contribution to journalArticle

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