Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction
نویسندگان
چکیده
منابع مشابه
Monostable Wavefronts in Cooperative Lotka-volterra Systems with Nonlocal Delays
This paper is concerned with traveling wavefronts in a LotkaVolterra model with nonlocal delays for two cooperative species. By using comparison principle, some existence and nonexistence results are obtained. If the wave speed is larger than a threshold which can be formulated in terms of basic parameters, we prove the asymptotic stability of traveling wavefronts by the spectral analysis metho...
متن کاملPropagating interface in a monostable reaction-diffusion equation with time delay
We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the solutions. We construct accurate lower barriers — by using a non standard bistable approximation of the monostable problem— and upper barriers. As a consequence, we prove the convergence to a propagating interface.
متن کاملWavefronts in time-delayed reaction–diffusion systems. Theory and comparison to experiment
We review the recent theoretical progress in the formulation and solution of the front speed problem for time-delayed reaction–diffusion systems. Most of the review is focused on hyperbolic equations. They have been widely used in recent years, because they allow for analytical solutions and yield a realistic description of some relevant phenomena. The theoretical methods are applied to a range...
متن کاملAsymptotic behaviour to a heat equation with a delayed control in the source term
Abstract: A one dimensional heat equation in a semi-infinite medium controlled through a heat source depending on the delayed heat flux at the extremum is studied. By reducing the problem to a delayed Volterra integral equation with a weakly singular kernel, we find conditions on the initial datum and on the source term of the equation to control the asymptotic behaviour of the mean temperatures.
متن کاملUniform Permanence and Wavefronts for a Non-local Reaction-diffusion Equation with Delay∗
We consider scalar equation ut(t, x) = uxx(t, x)− u(t, x) + Z R K(x− y)g(u(t − h, y))dy, (∗) where g : R+ → R+ has exactly two fixed points: x1 = 0, x2 = κ > 0, and K is non-negative and such that R
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2015
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/28/7/2027