Stability and Hopf bifurcation analysis of a delayed co-opetition-symbiosis syetem

A delayed co-opetition-symbiosis system is considered in this paper. By using the normal form theory and the center manifold theorem, the stability and Hopf bifurcations are investigated. It is found that the Hopf bifurcations occur when the delay passes through a sequence of critical values. At last, some numerical simulations are carried out to illustrate the main results.

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