title: New applications of Schrödinger type inequalities to the existence and uniqueness of Schrödingerean equilibrium.
abstract: As new applications of Schrödinger type inequalities appearing in Jiang (J. Inequal. Appl. 2016:247, 2016), 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.
authors.affiliation: College of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan, 030006 China.
authors.forename: Jianjie
authors.initials: J
authors.lastname: Wang
authors.affiliation: Institute of Mathematical Physics, Technische Universität Berlin, Berlin, D-10587 Germany.
authors.forename: Hugo
authors.initials: H
authors.lastname: Roncalver
keywords: Schrödinger type inequalities; Schrödingerean Hopf bifurcation; Schrödingerean equilibrium