RETRACTED: New applications of Schrödinger type inequalities to the existence and uniqueness of Schrödingerean equilibrium
type: Item
instance of: scholarly article
title: RETRACTED: New applications of Schrödinger type inequalities to the existence and uniqueness of Schrödingerean equilibrium
zbMATH Open document ID: 1371.34125
author: Jianjie Wang
author: Hugo Roncalver
published in: Journal of Inequalities and Applications
publication date: 2017-03-27T00:00:00Z
review text: The authors consider the delayed Schrödingerean tritropic Hastings Powell model in dimensionless form given by \[ \frac{dx}{dt} \leq x(1-x)- \frac{a_1x}{1+b_1x}[y(t- \tau _1)], \] \[ \frac{dy}{dt} \leq -d_1y+ \frac{a_1x}{1+b_1x}y -\frac{a_2x}{1+b_2x}[z(t- \tau _2)], \] \[ \frac{dz}{dt} \leq -d_2z+ \frac{a_2x}{1+b_2x}z, \] where \(x,~y\) and \(z\) represent dimensionless population variables; \(t\) represents a dimensionless time variable and all of the parameters \(a_i,~b_i,~d_i~(i=1,2)\) are positive; \(\tau _1\) and \(\tau _2\) represent the period of prey transitioned to predator and predator transitioned to top predator, respectively. It must be noted that they have taken two different time delays. They introduce 5 non-negative equilibrium points of the system and give criteria when the Schrödinger equilibrium is locally asymptotically stable. Further they study the existence of Schrödinger Hopf bifurcation and investigated their stability and its direction.
Mathematics Subject Classification ID: 34K38
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6697299
zbMATH Keywords: Schrödinger type inequalities
zbMATH Keywords: Schrödingerean equilibrium, Schrödingerean Hopf bifurcation
Wikidata QID: Q42316117
reviewed by: J. Vasundhara Devi
MaRDI profile type: Publication
full work available at URL: s13660-017-1332-0
OpenAlex ID: W2603521053
cites work: Some Schrödinger-type inequalities for stabilization of discrete linear systems associated with the stationary Schrödinger operator
cites work: Q4264342
cites work: Q3930015
cites work: Sufficient conditions for non-stability of stochastic differential systems
cites work: Retracted: Fixed point theorems for solutions of the stationary Schrödinger equation on cones
DOI: 10.1186/S13660-017-1332-0
description: scientific article; zbMATH DE number 6697299