Traveling Wavefronts for the Discrete Fisher′s Equation
نویسندگان
چکیده
منابع مشابه
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.
متن کاملWavefronts and solutions of the eikonal equation
S U M M A R Y In this paper, several methods for the solution of the eikonal equation are investigated. Using the method of characteristics, traveltimes are computed along rays. Approximate solutions of the eikonal equation can also be obtained. From Fermat’s principle, first-order changes in the traveltime can be found by integrating along initial ray trajectories. Alternatively, linearized ra...
متن کاملTraveling Wavefronts of a Diffusive Hematopoiesis Model with Time Delay
In this paper, a reaction-diffusion equation with discrete time delay that describes the dynamics of the blood cell production is analyzed. The existence of the traveling wave front solutions is demonstrated using the technique of upper and lower solutions and the associated monotone iteration.
متن کاملTraveling Wavefronts on Reaction Diffusion Systems with Spatio-Temporal Delays
By using Schauder’s Fixed Point Theorem, we study the existence of traveling wave fronts for reaction-diffusion systems with spatio-temporal delays. In our results, we reduce the existence of traveling wave fronts to the existence of an admissible pair of upper solution and lower solution which are much easier to construct in practice.
متن کاملTraveling 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...
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: Journal of Differential Equations
سال: 1993
ISSN: 0022-0396
DOI: 10.1006/jdeq.1993.1082