Uniform weak implies uniform strong persistence for non-autonomous semiflows

Research output: Contribution to journalArticle

59 Scopus citations

Abstract

It is shown that, under two additional assumptions, uniformly weakly persistent semiflows are also uniformly strongly persistent even if they are non-autonomous. This result is applied to a time-heterogeneous model of S-I-R-S type for the spread of infectious childhood diseases. If some of the parameter functions are almost periodic, an almost sharp threshold result is obtained for uniform strong endemicity versus extinction.

Original languageEnglish (US)
Pages (from-to)2395-2403
Number of pages9
JournalProceedings of the American Mathematical Society
Volume127
Issue number8
DOIs
StatePublished - 1999

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Uniform weak implies uniform strong persistence for non-autonomous semiflows'. Together they form a unique fingerprint.

  • Cite this