Traveling Wavefronts in a Single Species Model with Nonlocal Diffusion and Age-Structure

This paper is concerned with the existence of monotone traveling wavefronts in a single species model with nonlocal diffusion and age-structure. We first apply upper and lower solution technique to prove the result if the wave speed is larger than a threshold depending only on the basic parameters. When the wave speed equals to the threshold, we show the conclusion by passing to a limit function.

Anahtar Kelimeler:

Age-structure, nonlocal diffusion, traveling wavefront, upper and lower solutions.

Traveling Wavefronts in a Single Species Model with Nonlocal Diffusion and Age-Structure

Keywords:

Age-structure, nonlocal diffusion, traveling wavefront, upper and lower solutions.,

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College of Mathematics, Lanzhou City University Lanzhou, Gansu 730070, People’s Republic of CHINA e-mail: lixuesh06@lzu.cn
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People’s Republic of CHINA