Disease mortality in epidemic models

Research output: Contribution to journalArticle

Abstract

We consider models for the transmission of infectious diseases with an arbitrary infective period distribution in which there may be both disease fatalities and recoveries. The possibility of disease deaths complicates the analysis because the total population size can not be asymptotically constant. If the birth rate is constant there is always a unique asymptotically stable equilibrium. However, if the birth rate depends on susceptible population size, the endemic equilibrium may be unstable for some infective period distributions and the stability may depend on the fraction of infectives who recover from the disease.

Original languageEnglish (US)
Pages (from-to)377-387
Number of pages11
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume10
Issue number1-3
StatePublished - Feb 1 2003
Externally publishedYes

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Epidemic Model
Mortality
Population Size
Endemic Equilibrium
Infectious Diseases
Asymptotically Stable
Recovery
Unstable
Arbitrary
Model

Keywords

  • Arbitrary infective period distributions
  • Disease mortality
  • Epidemic model
  • Instability

ASJC Scopus subject areas

  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

Disease mortality in epidemic models. / Brauer, Fred.

In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 10, No. 1-3, 01.02.2003, p. 377-387.

Research output: Contribution to journalArticle

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