Traveling Wave Solutions of a Delayed Cooperative System
Xue-Shi Li, Shuxia Pan
Mathematics · 2019
doi:10.3390/math7030269 (opens in a new tab)
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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.
Abstract licence: CC BY
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