Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition

DOI10.1080/17513750802425656zbMath1342.92214OpenAlexW1998961856WikidataQ51850499 ScholiaQ51850499MaRDI QIDQ3186333

Taishan Yi, Yuming Chen, Jianhong Wu

Publication date: 9 August 2016

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750802425656

zbMATH Keywords

global stabilityDirichlet boundary valuenon-monotone dynamical systemreaction diffusive equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25)

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Cites Work

• Unnamed Item
• Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
• Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
• A semilinear parabolic Volterra integrodifferential equation
• Convergence to equilibrium for delay-diffusion equations with small delay
• On uniqueness of positive solutions of nonlinear elliptic boundary value problems
• Semilinear functional differential equations in Banach space
• Dirichlet problem for the diffusive Nicholson's blowflies equation
• Global dynamics for a reaction-diffusion equation with time delay
• Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
• Traveling waves for the diffusive Nicholson's blowflies equation
• Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
• Dynamics of the diffusive Nicholson's blowflies equation with distributed delay
• Abstract Functional Differential Equations and Reaction-Diffusion Systems
• Functional differential equations in Banach spaces: Growth and decay of solutions.
• Asymptotic behavior of solutions for semilinear volterra diffusion equations
• Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion