Persistence versus extinction for a class of discrete-time structured population models

DOI10.1007/s00285-015-0898-8zbMath1347.37126OpenAlexW582579247WikidataQ50905714 ScholiaQ50905714MaRDI QIDQ259227

Wen Jin, Horst R. Thieme, Hal Leslie Smith

Publication date: 11 March 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-015-0898-8

zbMATH Keywords

stabilitybasic reproduction numberbasic turnover numbereigenfunctionalKrein-Rutman theoremnet reproductive numberpersistence thresholdplant populationseed bank

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Plant biology (92C80)

Related Items (9)

From homogeneous eigenvalue problems to two-sex population dynamics ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius ⋮ Reproduction number versus turnover number in structured discrete-time population models ⋮ Discrete-time population dynamics on the state space of measures ⋮ Discrete-time population dynamics of spatially distributed semelparous two-sex populations ⋮ Persistent discrete-time dynamics on measures ⋮ Boundedness, persistence and stability for classes of forced difference equations arising in population ecology ⋮ Epidemic models with discrete state structures

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