On persistence and stability of some spatially inhomogeneous systems

DOI10.1006/jmaa.2001.7796zbMath1005.37053OpenAlexW1970757790MaRDI QIDQ1604229

R. Smith

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7796

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Stability theory for smooth dynamical systems (37C75)

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Cites Work

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• Uniform persistence for population models with time delay using multiple Lyapunov functions
• Persistence and global stability in a population model
• Cellular automata model for the diffusion equation
• On a difference-delay equation
• Nonlinear Instability in Dissipative Finite Difference Schemes
• The generalized Cattaneo equation for the description of anomalous transport processes
• Permanence in ecological systems with spatial heterogeneity
• Evolutionary Games and Population Dynamics
• Topological properties of linearly coupled expanding map lattices
• Stochastic Spatial Models
• Dynamics in a Discrete Nagumo Equation: Spatial Topological Chaos
• Practical persistence in ecological models via comparison methods
• A chaotic attractor in ecology: Theory and experimental data