Global dynamics of a non-local delayed differential equation in the half plane

DOI10.3934/cpaa.2014.13.2475zbMath1304.35737OpenAlexW2333665137WikidataQ115219303 ScholiaQ115219303MaRDI QIDQ479548

Tao Wang

Publication date: 5 December 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2014.13.2475

zbMATH Keywords

a priori estimatepermanenceglobal dynamicscompact open topologynon-local delayed differential equation

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Global stability of solutions to ordinary differential equations (34D23) Stability theory for difference equations (39A30)

Related Items (4)

Global dynamics of a nonlocal delayed reaction-diffusion equation on a half plane ⋮ Dirichlet problem of a delay differential equation with spatial non-locality on a half plane ⋮ Travelling waves for a nonlocal delay differential equation ⋮ Spatial-temporal patterns of a two age structured population model with spatial non-locality

Cites Work

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• Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain
• On the global attractor of delay differential equations with unimodal feedback
• Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
• A structured population model and a related functional differential equation: Global attractors and uniform persistence
• Structured population on two patches: modeling dispersal and delay
• Global dynamics of delayed reaction-diffusion equations in unbounded domains
• Asymptotic stability for delayed logistic type equations
• Population dynamic models with nonlocal delay on bounded domains and their numerical computations
• Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition
• Quasi Convergence and Stability for Strongly Order-Preserving Semiflows
• The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
• A Global Stability Criterion for Scalar Functional Differential Equations
• A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
• Interaction of maturation delay and nonlinear birth in population and epidemic models
• Traveling wave fronts of reaction-diffusion systems with delay

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