Persistence and extinction of diffusing populations with two sexes and short reproductive season

DOI10.3934/dcdsb.2014.19.3209zbMath1305.92062OpenAlexW2316927686MaRDI QIDQ478158

Horst R. Thieme, Wen Jin

Publication date: 3 December 2014

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.2014.19.3209

zbMATH Keywords

stabilityeigenvectorbasic reproduction numberdifference equationdiscrete dynamical systemordered Banach spacecone spectral radiushomogeneous maptwo-sex populationdiscrete semiflowimpulsive reaction diffusion system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Difference operators (39A70) Applications of difference equations (39A60)

Related Items

Persistence and critical domain size for diffusing populations with two sexes and short reproductive season ⋮ Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations ⋮ Spatial dynamics of species with annually synchronized emergence of adults ⋮ From homogeneous eigenvalue problems to two-sex population dynamics ⋮ Single species growth consuming inorganic carbon with internal storage in a poorly mixed habitat ⋮ An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius ⋮ 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 ⋮ 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

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