Stability analysis for a new fractional order N species network

Stability analysis for a new fractional order N species network

The present paper considers a fractional-order N species network, in which, the general functions are used for finding general theories. The existence, uniqueness, and non-negativity of the solutions for the considered model are proved. Moreover, the local and global asymptotic stability of the equi...

Full description

Bibliographic Details
Main Authors: Yingkang Xie, Junwei Lu, Bo Meng, Zhen Wang
Format: Article
Language:English
Published: AIMS Press 2020-03-01
Series:Mathematical Biosciences and Engineering
Subjects:
fractional-order system
stability analysis
population model
n species
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020154?viewType=HTML
id doaj-909e28752dcb431c97962502aace7f74
record_format Article
spelling doaj-909e28752dcb431c97962502aace7f742021-07-22T06:56:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-03-011742805281910.3934/mbe.2020154Stability analysis for a new fractional order N species networkYingkang Xie0Junwei Lu1Bo Meng2Zhen Wang31. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China3. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaThe present paper considers a fractional-order N species network, in which, the general functions are used for finding general theories. The existence, uniqueness, and non-negativity of the solutions for the considered model are proved. Moreover, the local and global asymptotic stability of the equilibrium point are studied by using eigenvalue method and Lyapunov direct method. Finally, some simple examples and numerical simulations are provided to demonstrate the theoretical results.https://www.aimspress.com/article/doi/10.3934/mbe.2020154?viewType=HTMLfractional-order systemstability analysispopulation modeln species
collection DOAJ
language English
format Article
sources DOAJ
author Yingkang Xie
Junwei Lu
Bo Meng
Zhen Wang
spellingShingle Yingkang Xie
Junwei Lu
Bo Meng
Zhen Wang
Stability analysis for a new fractional order N species network
Mathematical Biosciences and Engineering
fractional-order system
stability analysis
population model
n species
author_facet Yingkang Xie
Junwei Lu
Bo Meng
Zhen Wang
author_sort Yingkang Xie
title Stability analysis for a new fractional order N species network
title_short Stability analysis for a new fractional order N species network
title_full Stability analysis for a new fractional order N species network
title_fullStr Stability analysis for a new fractional order N species network
title_full_unstemmed Stability analysis for a new fractional order N species network
title_sort stability analysis for a new fractional order n species network
publisher AIMS Press
series Mathematical Biosciences and Engineering
issn 1551-0018
publishDate 2020-03-01
description The present paper considers a fractional-order N species network, in which, the general functions are used for finding general theories. The existence, uniqueness, and non-negativity of the solutions for the considered model are proved. Moreover, the local and global asymptotic stability of the equilibrium point are studied by using eigenvalue method and Lyapunov direct method. Finally, some simple examples and numerical simulations are provided to demonstrate the theoretical results.
topic fractional-order system
stability analysis
population model
n species
url https://www.aimspress.com/article/doi/10.3934/mbe.2020154?viewType=HTML
work_keys_str_mv AT yingkangxie stabilityanalysisforanewfractionalordernspeciesnetwork
AT junweilu stabilityanalysisforanewfractionalordernspeciesnetwork
AT bomeng stabilityanalysisforanewfractionalordernspeciesnetwork
AT zhenwang stabilityanalysisforanewfractionalordernspeciesnetwork
_version_ 1721292097628143616

Similar Items