An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius
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Publication:896624
DOI10.3934/dcdsb.2016.21.447zbMath1327.39012OpenAlexW2345761337MaRDI QIDQ896624
Publication date: 10 December 2015
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2016.21.447
local stabilitypersistencebasic reproduction numberbasic turnover numbereigenfunctionalcone spectral radiushomogeneous mapcone derivativeKrein-Rutmanorder derivativeorder persistence
Population dynamics (general) (92D25) Difference operators (39A70) Applications of difference equations (39A60)
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The many guises of \(R_0\) (a didactic note), Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations, From homogeneous eigenvalue problems to two-sex population dynamics, Reproduction number versus turnover number in structured discrete-time population models, Measures under the flat norm as ordered normed vector space, Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm, Eigenvectors of homogeneous order-bounded order-preserving maps, Bifurcations in periodic integrodifference equations in \(C(\Omega)\). I: Analytical results and applications., Discrete-time population dynamics of spatially distributed semelparous two-sex populations, Persistent discrete-time dynamics on measures, Discrete-time dynamics of structured populations via Feller kernels, Persistence versus extinction for a class of discrete-time structured population models
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