Persistence in forward nonautonomous competitive systems of parabolic equations

DOI10.1007/s10884-010-9181-2zbMath1239.35059OpenAlexW2011662701MaRDI QIDQ650182

Janusz Mierczyński, Wenxian Shen

Publication date: 25 November 2011

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

Full work available at URL: https://doi.org/10.1007/s10884-010-9181-2

zbMATH Keywords

principal spectrumforward nonautonomous competitive system of parabolic equationforward uniform persistencesystem of parabolic equations of Kolmogorov type

Mathematics Subject Classification ID

Second-order parabolic systems (35K40) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Uniform and strict persistence in monotone skew-product semiflows with applications to non-autonomous Nicholson systems ⋮ On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems ⋮ Lower estimates of top Lyapunov exponent for cooperative random systems of linear ODEs

Cites Work

• Unnamed Item
• Unnamed Item
• Time averaging for nonautonomous/random linear parabolic equations
• Geometric theory of semilinear parabolic equations
• Permanence and the dynamics of biological systems
• On the structure of the permanence region for competing species models with general diffusivities and transport effects
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Lyapunov exponents and asymptotic dynamics in random Kolmogorov models
• The principal Floquet bundle and exponential separation for linear parabolic equations
• On uniqueness of positive entire solutions and other properties of linear parabolic equations
• The Faber-Krahn inequality for random/nonautonomous parabolic equations
• Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations
• Uniform persistence for nonautonomous and random parabolic Kolmogorov systems
• Ecological models, permanence and spatial heterogeneity
• The dynamics of a class of cooperative systems
• Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations
• Harnack inequality and exponential separation for oblique derivative problems on Lipschitz domains
• Estimates for the principal spectrum point for certain time-dependent parabolic operators
• Persistence in Infinite-Dimensional Systems
• Permanence and Asymptotically Stable Complete Trajectories for Nonautonomous Lotka–Volterra Models with Diffusion
• Ergodic Properties of Linear Dynamical Systems
• Uniform weak implies uniform strong persistence for non-autonomous semiflows
• Permanence in ecological systems with spatial heterogeneity
• Spatial Ecology via Reaction‐Diffusion Equations
• Uniform Persistence, Coexistence, and Extinction in Almost Periodic/Nonautonomous Competition Diffusion Systems
• Should a Park Be an Island?

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