Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays

DOI10.1016/j.na.2011.07.024zbMath1243.34116OpenAlexW2072101130MaRDI QIDQ642569

Teresa Faria

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.024

zbMATH Keywords

global asymptotic stabilitydelaystravelling wavepatch structureNicholson's blowflies equationheteroclinic solution

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Traveling wave solutions (35C07)

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Cites Work

• Unnamed Item
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• Global dynamics of Nicholson-type delay systems with applications
• Delay differential equations: with applications in population dynamics
• Global stability of a class of delay differential systems
• Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays
• Global asymptotic stability for neural network models with distributed delays
• Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays
• Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
• Traveling waves for the diffusive Nicholson's blowflies equation
• A stage structured predator-prey model and its dependence on maturation delay and death rate
• Monotonicity of heteroclinic orbits and spectral properties of variational equations for delay differential equations
• Local and global stability for Lotka-Volterra systems with distributed delays and instantaneous negative feedbacks
• Global stability of population models with patch structure
• Nonmonotone travelling waves in a single species reaction--diffusion equation with delay
• Positive travelling fronts for reaction–diffusion systems with distributed delay
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Wavefronts and global stability in a time-delayed population model with stage structure
• The Theory of the Chemostat
• A global stability criterion for a family of delayed population models