Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations
From MaRDI portal
Publication:330553
DOI10.1007/s10884-015-9482-6zbMathNonearXiv1412.3129OpenAlexW3101550570MaRDI QIDQ330553
Abraham Solar, Sergei I. Trofimchuk
Publication date: 26 October 2016
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.3129
delayasymptotic stabilityreaction-diffusion equationwavefrontmonostable equationspeed selectionsuper- and sub-solutions
Related Items (11)
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations ⋮ Wavefront’s stability with asymptotic phase in the delayed monostable equations ⋮ Determining spreading speeds for abstract time-periodic monotone semiflows ⋮ Propagation thresholds in a diffusive epidemic model with latency and vaccination ⋮ Delay-induced instabilities of stationary solutions in a single species nonlocal hyperbolic-parabolic population model ⋮ An estimation of level sets for non local KPP equations with delay ⋮ An iterative estimation for disturbances of semi-wavefronts to the delayed Fisher-KPP equation ⋮ Global stability of travelling waves for a class of monostable epidemic models ⋮ Traveling waves in delayed reaction-diffusion equations in biology ⋮ Global asymptotic stability of pushed traveling fronts for monostable delayed reaction-diffusion equations ⋮ Stability of semi-wavefronts for delayed reaction-diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On uniqueness of semi-wavefronts
- Inside dynamics of pulled and pushed fronts
- Existence and asymptotic stability of traveling waves of discrete quasilinear monostable equations
- Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain
- Traveling fronts in monostable equations with nonlocal delayed effects
- Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay
- Spreading speeds and traveling waves for abstract monostable evolution systems
- Traveling wavefronts for time-delayed reaction-diffusion equation. I: Local nonlinearity
- Traveling wavefronts for time-delayed reaction-diffusion equation. II: Nonlocal nonlinearity
- Convergence to pushed fronts
- Morse decompositions for delay-differential equations
- On two types of moving front in quasilinear diffusion
- Travelling fronts in nonlinear diffusion equations
- On the stability of waves of nonlinear parabolic systems
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- The behavior of solutions of some non-linear diffusion equations for large time
- The Fredholm alternative for functional-differential equations of mixed type
- Front propagation into unstable states
- Monotonicity and convergence results in order-preserving systems in the presence of symmetry
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation
- Asymptotic stability of traveling waves for delayed reaction-diffusion equations with crossing-monostability
- Pushed traveling fronts in monostable equations with monotone delayed reaction
- Separation dichotomy and wavefronts for a nonlinear convolution equation
- On the existence of non-monotone non-oscillating wavefronts
- Stability of non-monotone critical traveling waves for reaction-diffusion equations with time-delay
- Existence, uniqueness and stability of travelling waves in a discrete reaction --- diffusion monostable equation with delay
- Inside Dynamics of Delayed Traveling Waves
- Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction
- Positive travelling fronts for reaction–diffusion systems with distributed delay
- Nonlinear stability of travelling wave fronts for delayed reaction diffusion equations
- Asymptotic Behavior and Traveling Wave Solutions for Parabolic Functional Differential Equations
- Asymptotic stability of travelling waves for Nicholson's blowflies equation with diffusion
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations
- Global continuation of monotone wavefronts
- Large time behaviour of solutions for the heat equation with spatio-temporal delay
- Exponential Stability of Nonmonotone Traveling Waves for Nicholson's Blowflies Equation
- Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
- Traveling wave fronts of reaction-diffusion systems with delay
This page was built for publication: Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations
