Models for diseases with vertical transmission and nonlinear population dynamics

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

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
Volume128
Issue number1-2
DOIs
StatePublished - Jan 1 1995
Externally publishedYes

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Vertical Transmission
Population dynamics
Nonlinear Dynamics
birth rate
disease models
Birth Rate
Population Dynamics
Population Density
Population Size
population size
population dynamics
Finite Capacity
Stability of Equilibria
Carrying Capacity
Conservation of Natural Resources
carrying capacity
Directly proportional
Model

ASJC Scopus subject areas

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

Cite this

Models for diseases with vertical transmission and nonlinear population dynamics. / Brauer, Fred.

In: Mathematical Biosciences, Vol. 128, No. 1-2, 01.01.1995, p. 13-24.

Research output: Contribution to journalArticle

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