Resistance mechanisms matter in SIR models

Timothy C. Reluga, Jan Medlock

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

We compare four SIR-style models describing behavioral or immunological disease resistance that may be both partial and temporary in parameter regions feasible for interpandemic influenza. For the models studied, backward bifurcations and bistability may occur in contexts where resistance is due to behavior change, but they do not occur when resistance originates from an immune response. Care must be exercised to ensure that modeling assumptions about resistance are consistent with the biological mechanisms under study.

Original languageEnglish (US)
Pages (from-to)553-563
Number of pages11
JournalMathematical Biosciences and Engineering
Volume4
Issue number3
DOIs
StatePublished - Jul 2007

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Agricultural and Biological Sciences(all)
  • Computational Mathematics
  • Applied Mathematics

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