New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications

In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator. Meanwhile, the local stability of the Schrödingerean equilibrium and endemic equilibrium of the model are also d...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Xu, Zhang, Lei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487944/
https://www.ncbi.nlm.nih.gov/pubmed/28680246
http://dx.doi.org/10.1186/s13660-017-1417-9
_version_ 1783246554594803712
author Chen, Xu
Zhang, Lei
author_facet Chen, Xu
Zhang, Lei
author_sort Chen, Xu
collection PubMed
description In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator. Meanwhile, the local stability of the Schrödingerean equilibrium and endemic equilibrium of the model are also discussed. We specially analyze the existence and stability of the Schrödingerean Hopf bifurcation by using the center manifold theorem and bifurcation theory. As applications, theoretic analysis and numerical simulation show that the Schrödinger-prey system with latent period has a very rich dynamic characteristics.
format Online
Article
Text
id pubmed-5487944
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-54879442017-07-03 New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications Chen, Xu Zhang, Lei J Inequal Appl Research In this paper, by using the Beurling-Nevanlinna type inequality we obtain new results on the existence of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator. Meanwhile, the local stability of the Schrödingerean equilibrium and endemic equilibrium of the model are also discussed. We specially analyze the existence and stability of the Schrödingerean Hopf bifurcation by using the center manifold theorem and bifurcation theory. As applications, theoretic analysis and numerical simulation show that the Schrödinger-prey system with latent period has a very rich dynamic characteristics. Springer International Publishing 2017-06-19 2017 /pmc/articles/PMC5487944/ /pubmed/28680246 http://dx.doi.org/10.1186/s13660-017-1417-9 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Chen, Xu
Zhang, Lei
New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title_full New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title_fullStr New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title_full_unstemmed New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title_short New results on the existences of solutions of the Dirichlet problem with respect to the Schrödinger-prey operator and their applications
title_sort new results on the existences of solutions of the dirichlet problem with respect to the schrödinger-prey operator and their applications
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487944/
https://www.ncbi.nlm.nih.gov/pubmed/28680246
http://dx.doi.org/10.1186/s13660-017-1417-9
work_keys_str_mv AT chenxu newresultsontheexistencesofsolutionsofthedirichletproblemwithrespecttotheschrodingerpreyoperatorandtheirapplications
AT zhanglei newresultsontheexistencesofsolutionsofthedirichletproblemwithrespecttotheschrodingerpreyoperatorandtheirapplications

Ejemplares similares