Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and disease-dependent demographic factors in the population

Alberto D'Onofrio

Research output: Contribution to journalArticle

Abstract

Within the framework of SEIR-like epidemic models, we studied the conditions for the stable eradication of some families of vertically and horizontally transmitted infectious diseases in the case of periodically varying contact rate. By means of Floquet's theory, we found a condition for the eradication solution to be locally asymptotically stable. We then demonstrated that the same condition guarantees also that this vaccine-induced disease-free solution is globally asymptotically stable. A model with interacting populations is also considered. In the final part of this work, we extended the model by taking into account the variation of population size, the impact of disease-related deaths and reduction of fertility.

Original languageEnglish
Pages (from-to)537-547
Number of pages11
JournalApplied Mathematics and Computation
Volume140
Issue number2-3
DOIs
Publication statusPublished - Aug 10 2003

Fingerprint

Vaccines
Vaccine
Infectious Diseases
Contact
Dependent
Floquet Theory
Fertility
Globally Asymptotically Stable
Epidemic Model
Population Size
Asymptotically Stable
Model

Keywords

  • Cooperative dynamical systems
  • Epidemic and vaccination models
  • Floquet theory
  • Stability theory

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

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