Traveling Wave Solutions of a Delayed Cooperative System
School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, China
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
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
the existence and nonexistence of traveling wave solutions are investigated, during which the asymptotic behavior is investigated by the contracting rectangles.
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MDPI and ACS Style
Li, X.-S.; Pan, S. Traveling Wave Solutions of a Delayed Cooperative System. Mathematics 2019, 7, 269.
Li X-S, Pan S. Traveling Wave Solutions of a Delayed Cooperative System. Mathematics. 2019; 7(3):269.
Li, Xue-Shi; Pan, Shuxia. 2019. "Traveling Wave Solutions of a Delayed Cooperative System." Mathematics 7, no. 3: 269.
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