Models for diseases with vertical transmission and nonlinear population dynamics

Fred Brauer

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Vertical transmission, the direct transfer of a disease from an infective parent to a new born offspring, is an important aspect of many diseases. Most of what is known for vertical transmission models assumes birth rates proportional to population size. We consider models with nonlinear population dynamics and finite carrying capacity and analyze the stability of equilibria in the special case in which the overall birth rate does not depend on infective population size.

Original languageEnglish (US)
Pages (from-to)13-24
Number of pages12
JournalMathematical Biosciences
Issue number1-2
StatePublished - 1995
Externally publishedYes

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics


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