Two Novel proofs of Spectral Monotonicity of Perturbed Essentially Nonnegative Matrices with Applications in Population Dynamics

DOI10.1137/20M1345220zbMath1497.34066OpenAlexW4224279865WikidataQ113779073 ScholiaQ113779073MaRDI QIDQ5073744

Shanshan Chen, Zhisheng Shuai, Junping Shi, Yixiang Wu

Publication date: 3 May 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1345220

zbMATH Keywords

global stabilityspectral boundbasic reproduction numberLaplacian matrixpopulation extinctionpopulation persistenceKarlin's theorem

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (11)

Dispersal-induced growth in a time-periodic environment ⋮ Invasion dynamics of a predator-prey system in closed advective environments ⋮ Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model ⋮ Invasion analysis of a two‐species Lotka–Volterra competition model in an advective patchy environment ⋮ On the impact of spatial heterogeneity and drift rate in a three-patch two-species Lotka-Volterra competition model over a stream ⋮ When can a population spreading across sink habitats persist? ⋮ Hopf bifurcation of a delayed single population model with patch structure ⋮ Source-sink dynamics on networks: persistence and extinction ⋮ Maximizing Metapopulation Growth Rate and Biomass in Stream Networks ⋮ Dynamics of Lotka-Volterra competition patch models in streams with two branches ⋮ Evolution of dispersal in advective patchy environments

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