New applications of Schrödinger type inequalities to the existence and uniqueness of Schrödingerean equilibrium

摘要

As new applications of Schrödinger type inequalities appearing in Jiang (J. Inequal. Appl. 2016:247, ), we first investigate the existence and uniqueness of a Schrödingerean equilibrium. Next we propose a tritrophic Hastings-Powell model with two different Schrödingerean time delays. Finally, the stability and direction of the Schrödingerean Hopf bifurcation are also investigated by using the center manifold theorem and normal form theorem.