Existence of a travelling wave solution for a single population model with spatio-temporal delay

YANG Gao-xiang; ZHAO Lin-long

doi:10.3969/j.issn.1000-5641.2018.04.001

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Jul. 2018

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YANG Gao-xiang, ZHAO Lin-long. Existence of a travelling wave solution for a single population model with spatio-temporal delay[J]. Journal of East China Normal University (Natural Sciences), 2018, (4): 1-8. doi: 10.3969/j.issn.1000-5641.2018.04.001

Citation:

YANG Gao-xiang, ZHAO Lin-long. Existence of a travelling wave solution for a single population model with spatio-temporal delay[J]. Journal of East China Normal University (Natural Sciences), 2018, (4): 1-8. doi: 10.3969/j.issn.1000-5641.2018.04.001

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Existence of a travelling wave solution for a single population model with spatio-temporal delay

doi: 10.3969/j.issn.1000-5641.2018.04.001

School of Mathematics and Statistics, Ankang University, Ankang Shaanxi 725000, China

Received Date: 2017-06-01
Publish Date: 2018-07-25

Abstract

Abstract

In this paper, the existence of a travelling wave solution for a single population model with spatio-temporal delay is investigated by employing singular perturbation. The theoretical results are validated by using a numerical method. When the time delay is very small, a wave front solution exists; however, as the time delay increases, the shape of this travelling wave solution can vary and an oscillation wake can occur.
- spatio-temporal delay,
- travelling wave solution,
- singular perturbation method

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References(10)

References

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