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Mathematics 2019, 7(3), 269; https://doi.org/10.3390/math7030269

Traveling Wave Solutions of a Delayed Cooperative System

1
School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, China
2
School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
*
Author to whom correspondence should be addressed.
Received: 20 February 2019 / Revised: 12 March 2019 / Accepted: 12 March 2019 / Published: 15 March 2019
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Abstract

This paper deals with the dynamics of a delayed cooperative system without quasimonotonicity. Using the contracting rectangles, we obtain a sufficient condition on the stability of the unique positive steady state of the functional differential system. When the spatial domain is whole R , the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles. View Full-Text
Keywords: contracting rectangle; large delay; minimal wave speed; population dynamics contracting rectangle; large delay; minimal wave speed; population dynamics
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Li, X.-S.; Pan, S. Traveling Wave Solutions of a Delayed Cooperative System. Mathematics 2019, 7, 269.

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