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Dynamical analysis of a competition and cooperation system with multiple delays

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.

Publication metadata

Author(s): Zhang X, Zhang Z, Wade MJ

Publication type: Article

Publication status: Published

Journal: Boundary Value Problems

Year: 2018

Volume: 2018

Issue: 1

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


DOI: 10.1186/s13661-018-1032-9


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