Global dynamics for a class of reaction-diffusion equations with distributed delay and Neumann condition
From MaRDI portal
Publication:2308256
DOI10.3934/cpaa.2020108zbMath1439.35512arXiv1810.00975OpenAlexW3010513423MaRDI QIDQ2308256
Publication date: 26 March 2020
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.00975
exponential stabilityglobal attractivitydistributed delayreaction-diffusion equationsub and super-solution
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Partial functional-differential equations (35R10)
Related Items (6)
Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative ⋮ A linearized compact ADI scheme for semilinear parabolic problems with distributed delay ⋮ Global dynamics for a class of reaction–diffusion equations with distributed delay and non-monotone bistable nonlinearity ⋮ Long time behaviour for a mixed reaction-diffusion-difference problem with distributed delay and non-local term ⋮ Global stability for a class of functional differential equations with distributed delay and non-monotone bistable nonlinearity ⋮ Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mackey-Glass model of hematopoiesis with non-monotone feedback: stability, oscillation and control
- Absolute and delay-dependent stability of equations with a distributed delay
- Global stability for non-monotone delay equations (with application to a model of blood cell production)
- 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
- On the diffusive Nicholson's blowflies equation with distributed delay
- Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
- Nicholson's blowflies differential equations revisited: main results and open problems
- Semilinear functional differential equations in Banach space
- Introduction to functional differential equations
- Global stability for a class of functional differential equations (application to Nicholson's blowflies and Mackey-Glass models)
- Theory and applications of partial functional differential equations
- Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- Global dynamics of delayed reaction-diffusion equations in unbounded domains
- Dynamics of solutions of a reaction-diffusion equation with delayed inhibition
- Delay reaction-diffusion equation for infection dynamics
- Delayed population models with Allee effects and exploitation
- On the basins of attraction for a class of delay differential equations with non-monotone bistable nonlinearities
- On Dirichlet problem for a class of delayed reaction-diffusion equations with spatial non-locality
- Map dynamics versus dynamics of associated delay reaction–diffusion equations with a Neumann condition
- Stability and Hopf Bifurcation Analysis for Functional Differential Equation with Distributed Delay
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- A Differential-Delay Equation Arising in Optics and Physiology
- Erratic solutions of simple delay equations
- A Global Stability Criterion for Scalar Functional Differential Equations
- Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback
- A global stability criterion for a family of delayed population models
- A non-local delayed and diffusive predator-prey model.
- Unique periodic orbits for delayed positive feedback and the global attractor
This page was built for publication: Global dynamics for a class of reaction-diffusion equations with distributed delay and Neumann condition
