Traveling Wavefronts in a Delayed Food-limited Population Model

Minimal Wave Speed of Traveling Wavefronts in Delayed Belousov-Zhabotinskii Model

This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker condition than that in the known results. Moreover, the strict monotonicity of any monotone traveling wavefronts is also established.

Remark on Critical Speed of Traveling Wavefronts for Nicholson’s Blowflies Equation with Diffusion∗

This note is devoted to the study on the traveling wavefronts to the Nicholson’s blowflies equation with diffusion, a time-delayed reaction-diffusion equation. For the critical speed of traveling waves, we give a detailed analysis on its location and asymptotic behavior with respect to the mature age.

Existence, Uniqueness and Stability of Traveling Wavefronts for Nonlocal Dispersal Equations with Convolution Type Bistable Nonlinearity

This article concerns the bistable traveling wavefronts of a nonlocal dispersal equation with convolution type bistable nonlinearity. Applying a homotopy method, we establish the existence of traveling wavefronts. If the wave speed does not vanish, i.e. c 6= 0, then the uniqueness (up to translation) and the globally asymptotical stability of traveling wavefronts are proved by the comparison pr...

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...

Existence of Traveling Fronts in a Food-Limited Population Model with Spatiotemporal Delay