Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system
From MaRDI portal
Publication:952521
DOI10.1016/j.jde.2008.09.001zbMath1180.35536OpenAlexW2035426056MaRDI QIDQ952521
Xiao-Qiang Zhao, Jian Fang, Junjie Wei
Publication date: 12 November 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.09.001
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Partial functional-differential equations (35R10)
Related Items (37)
A nonlocal spatial model for Lyme disease ⋮ The dynamics of traveling wavefronts for a nonlocal delay competition system with local vs. nonlocal diffusions ⋮ Stability analysis of a reaction-diffusion equation with spatiotemporal delay and Dirichlet boundary condition ⋮ Propagation of monostable traveling fronts in discrete periodic media with delay ⋮ Asymptotic speeds of spread for a nonlocal diffusion equation ⋮ Traveling waves in a delayed SIR epidemic model with nonlinear incidence ⋮ Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion ⋮ Entire solutions with annihilating fronts to a nonlocal dispersal equation with bistable nonlinearity and spatio-temporal delay ⋮ Seasonal Influence on Age-Structured Invasive Species with Yearly Generation ⋮ Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays ⋮ Minimal wave speed and spread speed in a system modelling the geographic spread of black-legged tick Ixodes scapularis ⋮ Exponential stability of traveling wavefronts for a system modeling the geographic spread of black-legged tick \textit{Ixodes scapularis} ⋮ A nonlocal population model for the invasion of Canada goldenrod ⋮ A Delayed Succession Model With Diffusion for the Impact of Diapause on Population Growth ⋮ Perceptive movement of susceptible individuals with memory ⋮ Global dynamics of a reaction and diffusion model for Lyme disease ⋮ On the uniqueness of semi-wavefronts for non-local delayed reaction-diffusion equations ⋮ Asymptotic pattern of a migratory and nonmonotone population model ⋮ Traveling waves of a mutualistic model of mistletoes and birds ⋮ Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects ⋮ On existence of semi-wavefronts for a non-local reaction-diffusion equation with distributed delay ⋮ On the preservation of cooperation in two-strategy games with nonlocal interactions ⋮ Dynamics of a diffusive HBV model with delayed Beddington-DeAngelis response ⋮ Spreading speeds and traveling waves for a nonlocal dispersal equation with convolution-type crossing-monostable nonlinearity ⋮ Existence and uniqueness of traveling waves for non-monotone integral equations with applications ⋮ Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case ⋮ Stability analysis of a stage structure model with spatiotemporal delay effect ⋮ On uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delay ⋮ Traveling waves for a diffusive SIR model with delay and nonlinear incidence ⋮ Traveling wavefronts for time-delayed reaction-diffusion equation. I: Local nonlinearity ⋮ Traveling wavefronts for time-delayed reaction-diffusion equation. II: Nonlocal nonlinearity ⋮ An algebraic method on the eigenvalues and stability of delayed reaction-diffusion systems ⋮ Asymptotic pattern for a partial neutral functional differential equation ⋮ Traveling wave phenomena of a diffusive and vector-bias malaria model ⋮ TRAVELING WAVE SOLUTIONS IN A STAGE-STRUCTURED DELAYED REACTION-DIFFUSION MODEL WITH ADVECTION ⋮ A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission ⋮ Propagation dynamics of a nonlocal periodic organism model with non-monotone birth rates
Cites Work
- Unnamed Item
- Unnamed Item
- Erratum to ``Traveling wave fronts of reaction-diffusion systems with delays [J. Dynam. Diff. Eq. 13, 651, 687 (2001)]
- Theory of functional differential equations. 2nd ed
- Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction--diffusion models.
- Monotone travelling fronts in an age-structured reaction-diffusion model of a single species
- Errata to ``The asymptotic speed of spread and traveling waves for a vector disease model
- A time-delay model of single-species growth with stage structure
- Traveling fronts in diffusive and cooperative Lotka-Volterra system with nonlocal delays
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Long-Time Behavior of a Class of Biological Models
- Monotone wave-fronts in a structured population model with distributed maturation delay
- Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.
- A reaction–diffusion model for a single species with age structure. I Travelling wavefronts on unbounded domains
- Stability of steady states and existence of travelling waves in a vector-disease model
- Wavefronts and global stability in a time-delayed population model with stage structure
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Erratum: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
- Dynamical systems in population biology
This page was built for publication: Spatial dynamics of a nonlocal and time-delayed reaction-diffusion system
