Traveling Wave Solutions of a Delayed Cooperative System

Xue-Shi Li and Shuxia Pan
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Xue-Shi Li: School of Mathematics, Lanzhou City University, Lanzhou 730070, Gansu, China
Shuxia Pan: School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, China

Mathematics, 2019, vol. 7, issue 3, 1-15

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.

Keywords: contracting rectangle; large delay; minimal wave speed; population dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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