DISCRETE-TIME DYNAMICS OF STRUCTURED POPULATIONS VIA FELLER KERNELS

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1 Scopus citations

Abstract

Feller kernels are a concise means to formalize individual structural transitions in a structured discrete-time population model. An iteroparous populations (in which generations overlap) is considered where different kernels model the structural transitions for neonates and for older individuals. Other Feller kernels are used to model competition between individuals. The spectral radius of a suitable Feller kernel is established as basic turnover number that acts as threshold between population extinction and population persistence. If the basic turnover number exceeds one, the population shows various degrees of persistence that depend on the irreducibility and other properties of the transition kernels.

Original languageEnglish (US)
Pages (from-to)1091-1119
Number of pages29
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume27
Issue number2
DOIs
StatePublished - Feb 2022

Keywords

  • Basic reproduction number
  • Basic turnover number
  • Census
  • Compact attractor
  • Eigenmeasure
  • Extinction
  • Integral projection models
  • Integro-difference equations
  • Ordered normed vector spaces
  • Spectral radius
  • Stability
  • Uniform persistence

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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