Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii 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.

Pattern Formation and Wave Propagation in the Belousov-Zhabotinskii Reaction

Traveling Wavefronts in a Delayed Food-limited Population Model

In this paper we develop a new method to establish the existence of traveling wavefronts for a food-limited population model with nonmonotone delayed nonlocal effects. Our approach is based on a combination of perturbation methods, the Fredholm theory, and the Banach fixed point theorem. We also develop and theoretically justify Canosa’s asymptotic method for the wavefronts with large wave spee...

Different Kinds of Chaotic Oscillations in the Belousov-Zhabotinskii Reaction

für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...

On the Minimal Speed of Front Propagation in a Model of the Belousov-zhabotinsky Reaction

In this paper, we answer the question about the existence of the minimal speed of front propagation in a delayed version of the Murray model of the Belousov-Zhabotinsky (BZ) chemical reaction. It is assumed that the key parameter r of this model satisfies 0 < r ≤ 1 that makes it formally monostable. By proving that the set of all admissible speeds of propagation has the form [c∗,+∞), we show he...