Time effect on the dynamical behavior of a life energy system dynamic model

This article is concerned with a life energy system dynamic model with two different delays. A set of sufficient criteria which ensures the local stability and the existence of Hopf bifurcation for the model is derived. Some explicit formulas which determine the nature of Hopf bifurcations are obtained by means of the normal form theory and center manifold theorem. Our analytical findings are supported by numerical experiments. Finally, a brief conclusion is included.