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 language | English (US) |
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Pages (from-to) | 1091-1119 |
Number of pages | 29 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 27 |
Issue number | 2 |
DOIs | |
State | Published - 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