Abstract
This paper is concerned with the diffusive Nicholson’s blowflies equation with nonlocal delay incorporated as an integral convolution over the entire past time up to now and the whole one-dimensional spatial domain ℝ. Assume that the delay kernel is a strong generic kernel. By the linear chain techniques and the geometric singular perturbation theory, the existence of travelling front solutions is shown for small delay.
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Communicated by Xing-ming GUO
Project supported by the National Natural Science Foundation of China (No. 10961017) and the “Qing Lan” Talent Engineering Funds of Lanzhou Jiaotong University (No. QL-05-20A)
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Zhang, Ch., Yan, Xp. Wavefront solutions in diffusive Nicholson’s blowflies equation with nonlocal delay. Appl. Math. Mech.-Engl. Ed. 31, 385–392 (2010). https://doi.org/10.1007/s10483-010-0311-x
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DOI: https://doi.org/10.1007/s10483-010-0311-x
Key words
- diffusive Nicholson’s blowflies equation
- nonlocal delay
- strong generic kernel
- travelling wavefront solution