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Lookup NU author(s): Dr Matthew WadeORCiD
This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).
© 2018, The Author(s). This paper is concerned with a competition and cooperation system with multiple constant delays relating to economic enterprise. The stability of the unique positive equilibrium is investigated and the existence of Hopf bifurcations is demonstrated by analysing the associated characteristic equation. Furthermore, the explicit formulae determining the stability and the direction of periodic solutions bifurcating from Hopf bifurcations are obtained by applying centre manifold theory and the normal form method. Finally, special attention is paid to some numerical simulations in order to support the theoretical predictions.
Author(s): Zhang X, Zhang Z, Wade MJ
Publication type: Article
Publication status: Published
Journal: Boundary Value Problems
Online publication date: 13/07/2018
Acceptance date: 04/07/2018
Date deposited: 30/07/2018
ISSN (print): 1687-2762
ISSN (electronic): 1687-2770
Publisher: Springer International Publishing
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