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Traveling Wave Solutions of a Delayed Cooperative System

Author

Listed:
  • 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)

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.

Suggested Citation

  • Xue-Shi Li & Shuxia Pan, 2019. "Traveling Wave Solutions of a Delayed Cooperative System," Mathematics, MDPI, vol. 7(3), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:269-:d:214337
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