Uniform persistence for nonautonomous and random parabolic Kolmogorov systems

DOI10.1016/j.jde.2004.02.014zbMath1092.35015OpenAlexW2035362826MaRDI QIDQ1888323

Janusz Mierczyński, Wenxian Shen, Xiao-Qiang Zhao

Publication date: 23 November 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.02.014

zbMATH Keywords

Lyapunov exponentsPrincipal spectrumRandom equilibriumSkew-product semiflowsUnsaturated invariant set

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Population dynamics (general) (92D25) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Topological dynamics of nonautonomous systems (37B55) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (9)

Persistence for stochastic difference equations: a mini-review ⋮ Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems ⋮ Robust permanence for ecological equations with internal and external feedbacks ⋮ On growth rates of sub-additive functions for semi-flows: determined and random cases ⋮ Robust uniform persistence for structured models of delay differential equations ⋮ Persistence in forward nonautonomous competitive systems of parabolic equations ⋮ Permanence for general nonautonomous impulsive population systems of functional differential equations and its applications ⋮ Exponential dichotomy and admissibility of linearized skew-product semiflows defined on a compact positively invariant subset of semiflows ⋮ Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs

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